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Finding the Third Proportional to 84,073,632 and 181,112,448

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Solution

The third proportional to 84,073,632 and 181,112,448 is: 390,154,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073,632 : 181,112,448 = 181,112,448 : x
  2. Step 2: Convert to fraction form
    84,073,632/181,112,448 = 181,112,448/x
  3. Step 3: Cross multiply
    84,073,632x = 181,112,448 × 181,112,448
  4. Step 4: Simplify right side
    84,073,632x = 32,801,718,820,552,704
  5. Step 5: Solve for x
    x = 32,801,718,820,552,704/84,073,632
  6. Step 6: Final answer
    x = 390,154,654.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.