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Finding the Third Proportional to 43,737,984 and 69,513,120

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Solution

The third proportional to 43,737,984 and 69,513,120 is: 110,477,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,737,984 : 69,513,120 = 69,513,120 : x
  2. Step 2: Convert to fraction form
    43,737,984/69,513,120 = 69,513,120/x
  3. Step 3: Cross multiply
    43,737,984x = 69,513,120 × 69,513,120
  4. Step 4: Simplify right side
    43,737,984x = 4,832,073,852,134,400
  5. Step 5: Solve for x
    x = 4,832,073,852,134,400/43,737,984
  6. Step 6: Final answer
    x = 110,477,745.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.