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Finding the Third Proportional to 24,394,748 and 32,521,912.50

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Solution

The third proportional to 24,394,748 and 32,521,912.50 is: 43,356,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394,748 : 32,521,912.50 = 32,521,912.50 : x
  2. Step 2: Convert to fraction form
    24,394,748/32,521,912.50 = 32,521,912.50/x
  3. Step 3: Cross multiply
    24,394,748x = 32,521,912.50 × 32,521,912.50
  4. Step 4: Simplify right side
    24,394,748x = 1,057,674,792,657,656.25
  5. Step 5: Solve for x
    x = 1,057,674,792,657,656.25/24,394,748
  6. Step 6: Final answer
    x = 43,356,659.91

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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.