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Finding the Third Proportional to 57,807,360 and 78,737,160

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Solution

The third proportional to 57,807,360 and 78,737,160 is: 107,244,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807,360 : 78,737,160 = 78,737,160 : x
  2. Step 2: Convert to fraction form
    57,807,360/78,737,160 = 78,737,160/x
  3. Step 3: Cross multiply
    57,807,360x = 78,737,160 × 78,737,160
  4. Step 4: Simplify right side
    57,807,360x = 6,199,540,364,865,600
  5. Step 5: Solve for x
    x = 6,199,540,364,865,600/57,807,360
  6. Step 6: Final answer
    x = 107,244,827.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.