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Finding the Third Proportional to 42,641,619.75 and 91,746,677.53

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Solution

The third proportional to 42,641,619.75 and 91,746,677.53 is: 197,399,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,641,619.75 : 91,746,677.53 = 91,746,677.53 : x
  2. Step 2: Convert to fraction form
    42,641,619.75/91,746,677.53 = 91,746,677.53/x
  3. Step 3: Cross multiply
    42,641,619.75x = 91,746,677.53 × 91,746,677.53
  4. Step 4: Simplify right side
    42,641,619.75x = 8,417,452,838,023,174
  5. Step 5: Solve for x
    x = 8,417,452,838,023,174/42,641,619.75
  6. Step 6: Final answer
    x = 197,399,931.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.