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Finding the Third Proportional to 51,988,225 and 112,645,520

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Solution

The third proportional to 51,988,225 and 112,645,520 is: 244,074,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988,225 : 112,645,520 = 112,645,520 : x
  2. Step 2: Convert to fraction form
    51,988,225/112,645,520 = 112,645,520/x
  3. Step 3: Cross multiply
    51,988,225x = 112,645,520 × 112,645,520
  4. Step 4: Simplify right side
    51,988,225x = 12,689,013,176,070,400
  5. Step 5: Solve for x
    x = 12,689,013,176,070,400/51,988,225
  6. Step 6: Final answer
    x = 244,074,753.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.