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Finding the Third Proportional to 32,012,981.72 and 68,881,320.84

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Solution

The third proportional to 32,012,981.72 and 68,881,320.84 is: 148,209,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012,981.72 : 68,881,320.84 = 68,881,320.84 : x
  2. Step 2: Convert to fraction form
    32,012,981.72/68,881,320.84 = 68,881,320.84/x
  3. Step 3: Cross multiply
    32,012,981.72x = 68,881,320.84 × 68,881,320.84
  4. Step 4: Simplify right side
    32,012,981.72x = 4,744,636,361,179,628
  5. Step 5: Solve for x
    x = 4,744,636,361,179,628/32,012,981.72
  6. Step 6: Final answer
    x = 148,209,760.74

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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.