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Finding the Third Proportional to 7,142,158.13 and 10,209,267

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Solution

The third proportional to 7,142,158.13 and 10,209,267 is: 14,593,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142,158.13 : 10,209,267 = 10,209,267 : x
  2. Step 2: Convert to fraction form
    7,142,158.13/10,209,267 = 10,209,267/x
  3. Step 3: Cross multiply
    7,142,158.13x = 10,209,267 × 10,209,267
  4. Step 4: Simplify right side
    7,142,158.13x = 104,229,132,677,289
  5. Step 5: Solve for x
    x = 104,229,132,677,289/7,142,158.13
  6. Step 6: Final answer
    x = 14,593,506.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.