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Finding the Third Proportional to 31,900,754 and 69,977,056

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Solution

The third proportional to 31,900,754 and 69,977,056 is: 153,500,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,754 : 69,977,056 = 69,977,056 : x
  2. Step 2: Convert to fraction form
    31,900,754/69,977,056 = 69,977,056/x
  3. Step 3: Cross multiply
    31,900,754x = 69,977,056 × 69,977,056
  4. Step 4: Simplify right side
    31,900,754x = 4,896,788,366,427,136
  5. Step 5: Solve for x
    x = 4,896,788,366,427,136/31,900,754
  6. Step 6: Final answer
    x = 153,500,709.31

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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.