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Finding the Third Proportional to 37,109,523 and 59,653,363.50

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Solution

The third proportional to 37,109,523 and 59,653,363.50 is: 95,892,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109,523 : 59,653,363.50 = 59,653,363.50 : x
  2. Step 2: Convert to fraction form
    37,109,523/59,653,363.50 = 59,653,363.50/x
  3. Step 3: Cross multiply
    37,109,523x = 59,653,363.50 × 59,653,363.50
  4. Step 4: Simplify right side
    37,109,523x = 3,558,523,776,863,132
  5. Step 5: Solve for x
    x = 3,558,523,776,863,132/37,109,523
  6. Step 6: Final answer
    x = 95,892,468.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.