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Finding the Third Proportional to 24,165,297 and 36,598,909.50

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Solution

The third proportional to 24,165,297 and 36,598,909.50 is: 55,429,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165,297 : 36,598,909.50 = 36,598,909.50 : x
  2. Step 2: Convert to fraction form
    24,165,297/36,598,909.50 = 36,598,909.50/x
  3. Step 3: Cross multiply
    24,165,297x = 36,598,909.50 × 36,598,909.50
  4. Step 4: Simplify right side
    24,165,297x = 1,339,480,176,589,190.25
  5. Step 5: Solve for x
    x = 1,339,480,176,589,190.25/24,165,297
  6. Step 6: Final answer
    x = 55,429,907.47

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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.