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Finding the Third Proportional to 3,870,317,592 and 5,976,574,398

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Solution

The third proportional to 3,870,317,592 and 5,976,574,398 is: 9,229,072,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,317,592 : 5,976,574,398 = 5,976,574,398 : x
  2. Step 2: Convert to fraction form
    3,870,317,592/5,976,574,398 = 5,976,574,398/x
  3. Step 3: Cross multiply
    3,870,317,592x = 5,976,574,398 × 5,976,574,398
  4. Step 4: Simplify right side
    3,870,317,592x = 35,719,441,534,829,064,192
  5. Step 5: Solve for x
    x = 35,719,441,534,829,064,192/3,870,317,592
  6. Step 6: Final answer
    x = 9,229,072,469.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.