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Finding the Third Proportional to 3,986,402,584.22 and 8,541,410,398.59

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Solution

The third proportional to 3,986,402,584.22 and 8,541,410,398.59 is: 18,301,134,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,402,584.22 : 8,541,410,398.59 = 8,541,410,398.59 : x
  2. Step 2: Convert to fraction form
    3,986,402,584.22/8,541,410,398.59 = 8,541,410,398.59/x
  3. Step 3: Cross multiply
    3,986,402,584.22x = 8,541,410,398.59 × 8,541,410,398.59
  4. Step 4: Simplify right side
    3,986,402,584.22x = 72,955,691,597,209,714,688
  5. Step 5: Solve for x
    x = 72,955,691,597,209,714,688/3,986,402,584.22
  6. Step 6: Final answer
    x = 18,301,134,934.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.