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Finding the Third Proportional to 31,926,726 and 48,687,201

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Solution

The third proportional to 31,926,726 and 48,687,201 is: 74,246,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926,726 : 48,687,201 = 48,687,201 : x
  2. Step 2: Convert to fraction form
    31,926,726/48,687,201 = 48,687,201/x
  3. Step 3: Cross multiply
    31,926,726x = 48,687,201 × 48,687,201
  4. Step 4: Simplify right side
    31,926,726x = 2,370,443,541,214,401
  5. Step 5: Solve for x
    x = 2,370,443,541,214,401/31,926,726
  6. Step 6: Final answer
    x = 74,246,370.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.