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Finding the Third Proportional to 66,201,057 and 103,324,857

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Solution

The third proportional to 66,201,057 and 103,324,857 is: 161,266,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,201,057 : 103,324,857 = 103,324,857 : x
  2. Step 2: Convert to fraction form
    66,201,057/103,324,857 = 103,324,857/x
  3. Step 3: Cross multiply
    66,201,057x = 103,324,857 × 103,324,857
  4. Step 4: Simplify right side
    66,201,057x = 10,676,026,074,070,448
  5. Step 5: Solve for x
    x = 10,676,026,074,070,448/66,201,057
  6. Step 6: Final answer
    x = 161,266,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.