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Finding the Third Proportional to 2,009,504,176 and 2,714,164,840

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Solution

The third proportional to 2,009,504,176 and 2,714,164,840 is: 3,665,924,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,504,176 : 2,714,164,840 = 2,714,164,840 : x
  2. Step 2: Convert to fraction form
    2,009,504,176/2,714,164,840 = 2,714,164,840/x
  3. Step 3: Cross multiply
    2,009,504,176x = 2,714,164,840 × 2,714,164,840
  4. Step 4: Simplify right side
    2,009,504,176x = 7,366,690,778,692,226,048
  5. Step 5: Solve for x
    x = 7,366,690,778,692,226,048/2,009,504,176
  6. Step 6: Final answer
    x = 3,665,924,593.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.