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Finding the Third Proportional to 61,471,591 and 100,366,947

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Solution

The third proportional to 61,471,591 and 100,366,947 is: 163,872,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,591 : 100,366,947 = 100,366,947 : x
  2. Step 2: Convert to fraction form
    61,471,591/100,366,947 = 100,366,947/x
  3. Step 3: Cross multiply
    61,471,591x = 100,366,947 × 100,366,947
  4. Step 4: Simplify right side
    61,471,591x = 10,073,524,050,100,808
  5. Step 5: Solve for x
    x = 10,073,524,050,100,808/61,471,591
  6. Step 6: Final answer
    x = 163,872,837.62

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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.