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Finding the Third Proportional to 7,345,049 and 15,286,114

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Solution

The third proportional to 7,345,049 and 15,286,114 is: 31,812,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,049 : 15,286,114 = 15,286,114 : x
  2. Step 2: Convert to fraction form
    7,345,049/15,286,114 = 15,286,114/x
  3. Step 3: Cross multiply
    7,345,049x = 15,286,114 × 15,286,114
  4. Step 4: Simplify right side
    7,345,049x = 233,665,281,220,996
  5. Step 5: Solve for x
    x = 233,665,281,220,996/7,345,049
  6. Step 6: Final answer
    x = 31,812,623.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.