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Finding the Third Proportional to 61,471,605 and 100,366,968

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Solution

The third proportional to 61,471,605 and 100,366,968 is: 163,872,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,605 : 100,366,968 = 100,366,968 : x
  2. Step 2: Convert to fraction form
    61,471,605/100,366,968 = 100,366,968/x
  3. Step 3: Cross multiply
    61,471,605x = 100,366,968 × 100,366,968
  4. Step 4: Simplify right side
    61,471,605x = 10,073,528,265,513,024
  5. Step 5: Solve for x
    x = 10,073,528,265,513,024/61,471,605
  6. Step 6: Final answer
    x = 163,872,868.87

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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.