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Finding the Third Proportional to 37,829,409.75 and 61,772,013.75

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Solution

The third proportional to 37,829,409.75 and 61,772,013.75 is: 100,868,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,829,409.75 : 61,772,013.75 = 61,772,013.75 : x
  2. Step 2: Convert to fraction form
    37,829,409.75/61,772,013.75 = 61,772,013.75/x
  3. Step 3: Cross multiply
    37,829,409.75x = 61,772,013.75 × 61,772,013.75
  4. Step 4: Simplify right side
    37,829,409.75x = 3,815,781,682,730,189
  5. Step 5: Solve for x
    x = 3,815,781,682,730,189/37,829,409.75
  6. Step 6: Final answer
    x = 100,868,126.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.