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Finding the Third Proportional to 37,702,584 and 57,650,448

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Solution

The third proportional to 37,702,584 and 57,650,448 is: 88,152,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702,584 : 57,650,448 = 57,650,448 : x
  2. Step 2: Convert to fraction form
    37,702,584/57,650,448 = 57,650,448/x
  3. Step 3: Cross multiply
    37,702,584x = 57,650,448 × 57,650,448
  4. Step 4: Simplify right side
    37,702,584x = 3,323,574,154,600,704
  5. Step 5: Solve for x
    x = 3,323,574,154,600,704/37,702,584
  6. Step 6: Final answer
    x = 88,152,423.57

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Why These Related Problems?

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