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Finding the Third Proportional to 46,977,126 and 71,869,743

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Solution

The third proportional to 46,977,126 and 71,869,743 is: 109,952,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,977,126 : 71,869,743 = 71,869,743 : x
  2. Step 2: Convert to fraction form
    46,977,126/71,869,743 = 71,869,743/x
  3. Step 3: Cross multiply
    46,977,126x = 71,869,743 × 71,869,743
  4. Step 4: Simplify right side
    46,977,126x = 5,165,259,958,886,049
  5. Step 5: Solve for x
    x = 5,165,259,958,886,049/46,977,126
  6. Step 6: Final answer
    x = 109,952,659.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.