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Finding the Third Proportional to 32,963,160 and 48,491,820

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Solution

The third proportional to 32,963,160 and 48,491,820 is: 71,335,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963,160 : 48,491,820 = 48,491,820 : x
  2. Step 2: Convert to fraction form
    32,963,160/48,491,820 = 48,491,820/x
  3. Step 3: Cross multiply
    32,963,160x = 48,491,820 × 48,491,820
  4. Step 4: Simplify right side
    32,963,160x = 2,351,456,606,912,400
  5. Step 5: Solve for x
    x = 2,351,456,606,912,400/32,963,160
  6. Step 6: Final answer
    x = 71,335,897.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.