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Finding the Third Proportional to 45,125,936 and 69,758,944

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Solution

The third proportional to 45,125,936 and 69,758,944 is: 107,838,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,125,936 : 69,758,944 = 69,758,944 : x
  2. Step 2: Convert to fraction form
    45,125,936/69,758,944 = 69,758,944/x
  3. Step 3: Cross multiply
    45,125,936x = 69,758,944 × 69,758,944
  4. Step 4: Simplify right side
    45,125,936x = 4,866,310,267,995,136
  5. Step 5: Solve for x
    x = 4,866,310,267,995,136/45,125,936
  6. Step 6: Final answer
    x = 107,838,433.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.