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Finding the Third Proportional to 31,900,756 and 69,977,060

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Solution

The third proportional to 31,900,756 and 69,977,060 is: 153,500,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,756 : 69,977,060 = 69,977,060 : x
  2. Step 2: Convert to fraction form
    31,900,756/69,977,060 = 69,977,060/x
  3. Step 3: Cross multiply
    31,900,756x = 69,977,060 × 69,977,060
  4. Step 4: Simplify right side
    31,900,756x = 4,896,788,926,243,600
  5. Step 5: Solve for x
    x = 4,896,788,926,243,600/31,900,756
  6. Step 6: Final answer
    x = 153,500,717.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.