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Finding the Third Proportional to 2,866,561,052,247.60 and 6,288,103,090,009.20

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Solution

The third proportional to 2,866,561,052,247.60 and 6,288,103,090,009.20 is: 13,793,615,328,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,561,052,247.60 : 6,288,103,090,009.20 = 6,288,103,090,009.20 : x
  2. Step 2: Convert to fraction form
    2,866,561,052,247.60/6,288,103,090,009.20 = 6,288,103,090,009.20/x
  3. Step 3: Cross multiply
    2,866,561,052,247.60x = 6,288,103,090,009.20 × 6,288,103,090,009.20
  4. Step 4: Simplify right side
    2,866,561,052,247.60x = 39,540,240,470,583,254,097,854,464
  5. Step 5: Solve for x
    x = 39,540,240,470,583,254,097,854,464/2,866,561,052,247.60
  6. Step 6: Final answer
    x = 13,793,615,328,576.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.