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Finding the Third Proportional to 24,394,746 and 32,521,909.50

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Solution

The third proportional to 24,394,746 and 32,521,909.50 is: 43,356,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394,746 : 32,521,909.50 = 32,521,909.50 : x
  2. Step 2: Convert to fraction form
    24,394,746/32,521,909.50 = 32,521,909.50/x
  3. Step 3: Cross multiply
    24,394,746x = 32,521,909.50 × 32,521,909.50
  4. Step 4: Simplify right side
    24,394,746x = 1,057,674,597,526,190.25
  5. Step 5: Solve for x
    x = 1,057,674,597,526,190.25/24,394,746
  6. Step 6: Final answer
    x = 43,356,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.