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Finding the Third Proportional to 52,376,663.25 and 123,466,358.81

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Solution

The third proportional to 52,376,663.25 and 123,466,358.81 is: 291,044,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,376,663.25 : 123,466,358.81 = 123,466,358.81 : x
  2. Step 2: Convert to fraction form
    52,376,663.25/123,466,358.81 = 123,466,358.81/x
  3. Step 3: Cross multiply
    52,376,663.25x = 123,466,358.81 × 123,466,358.81
  4. Step 4: Simplify right side
    52,376,663.25x = 15,243,941,758,416,996
  5. Step 5: Solve for x
    x = 15,243,941,758,416,996/52,376,663.25
  6. Step 6: Final answer
    x = 291,044,538.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.