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Finding the Third Proportional to 40,538,124 and 62,822,931.75

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Solution

The third proportional to 40,538,124 and 62,822,931.75 is: 97,358,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,538,124 : 62,822,931.75 = 62,822,931.75 : x
  2. Step 2: Convert to fraction form
    40,538,124/62,822,931.75 = 62,822,931.75/x
  3. Step 3: Cross multiply
    40,538,124x = 62,822,931.75 × 62,822,931.75
  4. Step 4: Simplify right side
    40,538,124x = 3,946,720,753,665,158
  5. Step 5: Solve for x
    x = 3,946,720,753,665,158/40,538,124
  6. Step 6: Final answer
    x = 97,358,248.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.