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Finding the Third Proportional to 747,057,660 and 1,116,469,046

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Solution

The third proportional to 747,057,660 and 1,116,469,046 is: 1,668,550,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,057,660 : 1,116,469,046 = 1,116,469,046 : x
  2. Step 2: Convert to fraction form
    747,057,660/1,116,469,046 = 1,116,469,046/x
  3. Step 3: Cross multiply
    747,057,660x = 1,116,469,046 × 1,116,469,046
  4. Step 4: Simplify right side
    747,057,660x = 1,246,503,130,676,150,016
  5. Step 5: Solve for x
    x = 1,246,503,130,676,150,016/747,057,660
  6. Step 6: Final answer
    x = 1,668,550,096.49

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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.