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Finding the Third Proportional to 32,012,981.44 and 68,881,320.56

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Solution

The third proportional to 32,012,981.44 and 68,881,320.56 is: 148,209,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012,981.44 : 68,881,320.56 = 68,881,320.56 : x
  2. Step 2: Convert to fraction form
    32,012,981.44/68,881,320.56 = 68,881,320.56/x
  3. Step 3: Cross multiply
    32,012,981.44x = 68,881,320.56 × 68,881,320.56
  4. Step 4: Simplify right side
    32,012,981.44x = 4,744,636,322,433,885
  5. Step 5: Solve for x
    x = 4,744,636,322,433,885/32,012,981.44
  6. Step 6: Final answer
    x = 148,209,760.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.