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Finding the Third Proportional to 51,829,416 and 119,988,324

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Solution

The third proportional to 51,829,416 and 119,988,324 is: 277,780,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,416 : 119,988,324 = 119,988,324 : x
  2. Step 2: Convert to fraction form
    51,829,416/119,988,324 = 119,988,324/x
  3. Step 3: Cross multiply
    51,829,416x = 119,988,324 × 119,988,324
  4. Step 4: Simplify right side
    51,829,416x = 14,397,197,896,328,976
  5. Step 5: Solve for x
    x = 14,397,197,896,328,976/51,829,416
  6. Step 6: Final answer
    x = 277,780,438.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.