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Finding the Third Proportional to 33,694,053 and 48,149,582.50

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Solution

The third proportional to 33,694,053 and 48,149,582.50 is: 68,806,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694,053 : 48,149,582.50 = 48,149,582.50 : x
  2. Step 2: Convert to fraction form
    33,694,053/48,149,582.50 = 48,149,582.50/x
  3. Step 3: Cross multiply
    33,694,053x = 48,149,582.50 × 48,149,582.50
  4. Step 4: Simplify right side
    33,694,053x = 2,318,382,294,924,306
  5. Step 5: Solve for x
    x = 2,318,382,294,924,306/33,694,053
  6. Step 6: Final answer
    x = 68,806,869.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.