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Finding the Third Proportional to 32,640,893.50 and 49,381,146.75

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Solution

The third proportional to 32,640,893.50 and 49,381,146.75 is: 74,706,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640,893.50 : 49,381,146.75 = 49,381,146.75 : x
  2. Step 2: Convert to fraction form
    32,640,893.50/49,381,146.75 = 49,381,146.75/x
  3. Step 3: Cross multiply
    32,640,893.50x = 49,381,146.75 × 49,381,146.75
  4. Step 4: Simplify right side
    32,640,893.50x = 2,438,497,654,345,035.50
  5. Step 5: Solve for x
    x = 2,438,497,654,345,035.50/32,640,893.50
  6. Step 6: Final answer
    x = 74,706,829.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.