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Finding the Third Proportional to 397,287,802.69 and 927,948,355.03

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Solution

The third proportional to 397,287,802.69 and 927,948,355.03 is: 2,167,416,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,287,802.69 : 927,948,355.03 = 927,948,355.03 : x
  2. Step 2: Convert to fraction form
    397,287,802.69/927,948,355.03 = 927,948,355.03/x
  3. Step 3: Cross multiply
    397,287,802.69x = 927,948,355.03 × 927,948,355.03
  4. Step 4: Simplify right side
    397,287,802.69x = 861,088,149,605,202,816
  5. Step 5: Solve for x
    x = 861,088,149,605,202,816/397,287,802.69
  6. Step 6: Final answer
    x = 2,167,416,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.