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Finding the Third Proportional to 468,625,728.38 and 1,007,778,106.13

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Solution

The third proportional to 468,625,728.38 and 1,007,778,106.13 is: 2,167,223,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,625,728.38 : 1,007,778,106.13 = 1,007,778,106.13 : x
  2. Step 2: Convert to fraction form
    468,625,728.38/1,007,778,106.13 = 1,007,778,106.13/x
  3. Step 3: Cross multiply
    468,625,728.38x = 1,007,778,106.13 × 1,007,778,106.13
  4. Step 4: Simplify right side
    468,625,728.38x = 1,015,616,711,184,891,776
  5. Step 5: Solve for x
    x = 1,015,616,711,184,891,776/468,625,728.38
  6. Step 6: Final answer
    x = 2,167,223,542.56

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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.