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Finding the Third Proportional to 51,051,737 and 76,615,514

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Solution

The third proportional to 51,051,737 and 76,615,514 is: 114,980,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051,737 : 76,615,514 = 76,615,514 : x
  2. Step 2: Convert to fraction form
    51,051,737/76,615,514 = 76,615,514/x
  3. Step 3: Cross multiply
    51,051,737x = 76,615,514 × 76,615,514
  4. Step 4: Simplify right side
    51,051,737x = 5,869,936,985,484,196
  5. Step 5: Solve for x
    x = 5,869,936,985,484,196/51,051,737
  6. Step 6: Final answer
    x = 114,980,161.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.