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Finding the Third Proportional to 8,683,017 and 12,764,376

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Solution

The third proportional to 8,683,017 and 12,764,376 is: 18,764,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683,017 : 12,764,376 = 12,764,376 : x
  2. Step 2: Convert to fraction form
    8,683,017/12,764,376 = 12,764,376/x
  3. Step 3: Cross multiply
    8,683,017x = 12,764,376 × 12,764,376
  4. Step 4: Simplify right side
    8,683,017x = 162,929,294,669,376
  5. Step 5: Solve for x
    x = 162,929,294,669,376/8,683,017
  6. Step 6: Final answer
    x = 18,764,134.02

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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.