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Finding the Third Proportional to 37,328,514 and 77,636,814

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Solution

The third proportional to 37,328,514 and 77,636,814 is: 161,471,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328,514 : 77,636,814 = 77,636,814 : x
  2. Step 2: Convert to fraction form
    37,328,514/77,636,814 = 77,636,814/x
  3. Step 3: Cross multiply
    37,328,514x = 77,636,814 × 77,636,814
  4. Step 4: Simplify right side
    37,328,514x = 6,027,474,888,070,596
  5. Step 5: Solve for x
    x = 6,027,474,888,070,596/37,328,514
  6. Step 6: Final answer
    x = 161,471,064.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.