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Finding the Third Proportional to 747,057,657 and 1,116,469,044

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Solution

The third proportional to 747,057,657 and 1,116,469,044 is: 1,668,550,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,057,657 : 1,116,469,044 = 1,116,469,044 : x
  2. Step 2: Convert to fraction form
    747,057,657/1,116,469,044 = 1,116,469,044/x
  3. Step 3: Cross multiply
    747,057,657x = 1,116,469,044 × 1,116,469,044
  4. Step 4: Simplify right side
    747,057,657x = 1,246,503,126,210,274,048
  5. Step 5: Solve for x
    x = 1,246,503,126,210,274,048/747,057,657
  6. Step 6: Final answer
    x = 1,668,550,097.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.