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Finding the Third Proportional to 5,146,288 and 7,569,743

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Solution

The third proportional to 5,146,288 and 7,569,743 is: 11,134,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,288 : 7,569,743 = 7,569,743 : x
  2. Step 2: Convert to fraction form
    5,146,288/7,569,743 = 7,569,743/x
  3. Step 3: Cross multiply
    5,146,288x = 7,569,743 × 7,569,743
  4. Step 4: Simplify right side
    5,146,288x = 57,301,009,086,049
  5. Step 5: Solve for x
    x = 57,301,009,086,049/5,146,288
  6. Step 6: Final answer
    x = 11,134,434.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.