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Finding the Third Proportional to 38,577,570 and 58,770,765.50

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Solution

The third proportional to 38,577,570 and 58,770,765.50 is: 89,533,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577,570 : 58,770,765.50 = 58,770,765.50 : x
  2. Step 2: Convert to fraction form
    38,577,570/58,770,765.50 = 58,770,765.50/x
  3. Step 3: Cross multiply
    38,577,570x = 58,770,765.50 × 58,770,765.50
  4. Step 4: Simplify right side
    38,577,570x = 3,454,002,877,455,990
  5. Step 5: Solve for x
    x = 3,454,002,877,455,990/38,577,570
  6. Step 6: Final answer
    x = 89,533,966.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.