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Finding the Third Proportional to 32,648,512 and 71,175,680

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Solution

The third proportional to 32,648,512 and 71,175,680 is: 155,167,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648,512 : 71,175,680 = 71,175,680 : x
  2. Step 2: Convert to fraction form
    32,648,512/71,175,680 = 71,175,680/x
  3. Step 3: Cross multiply
    32,648,512x = 71,175,680 × 71,175,680
  4. Step 4: Simplify right side
    32,648,512x = 5,065,977,423,462,400
  5. Step 5: Solve for x
    x = 5,065,977,423,462,400/32,648,512
  6. Step 6: Final answer
    x = 155,167,176.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.