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Finding the Third Proportional to 24,536,166 and 37,148,121

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Solution

The third proportional to 24,536,166 and 37,148,121 is: 56,242,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536,166 : 37,148,121 = 37,148,121 : x
  2. Step 2: Convert to fraction form
    24,536,166/37,148,121 = 37,148,121/x
  3. Step 3: Cross multiply
    24,536,166x = 37,148,121 × 37,148,121
  4. Step 4: Simplify right side
    24,536,166x = 1,379,982,893,830,641
  5. Step 5: Solve for x
    x = 1,379,982,893,830,641/24,536,166
  6. Step 6: Final answer
    x = 56,242,808.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.