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Finding the Third Proportional to 6,098,154 and 8,964,543

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Solution

The third proportional to 6,098,154 and 8,964,543 is: 13,178,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,154 : 8,964,543 = 8,964,543 : x
  2. Step 2: Convert to fraction form
    6,098,154/8,964,543 = 8,964,543/x
  3. Step 3: Cross multiply
    6,098,154x = 8,964,543 × 8,964,543
  4. Step 4: Simplify right side
    6,098,154x = 80,363,031,198,849
  5. Step 5: Solve for x
    x = 80,363,031,198,849/6,098,154
  6. Step 6: Final answer
    x = 13,178,255.45

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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.