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Finding the Third Proportional to 31,982,766.75 and 46,774,714.13

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Solution

The third proportional to 31,982,766.75 and 46,774,714.13 is: 68,407,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982,766.75 : 46,774,714.13 = 46,774,714.13 : x
  2. Step 2: Convert to fraction form
    31,982,766.75/46,774,714.13 = 46,774,714.13/x
  3. Step 3: Cross multiply
    31,982,766.75x = 46,774,714.13 × 46,774,714.13
  4. Step 4: Simplify right side
    31,982,766.75x = 2,187,873,881,475,474.50
  5. Step 5: Solve for x
    x = 2,187,873,881,475,474.50/31,982,766.75
  6. Step 6: Final answer
    x = 68,407,899.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.