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Finding the Third Proportional to 5,146,452 and 7,569,968

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Solution

The third proportional to 5,146,452 and 7,569,968 is: 11,134,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,452 : 7,569,968 = 7,569,968 : x
  2. Step 2: Convert to fraction form
    5,146,452/7,569,968 = 7,569,968/x
  3. Step 3: Cross multiply
    5,146,452x = 7,569,968 × 7,569,968
  4. Step 4: Simplify right side
    5,146,452x = 57,304,415,521,024
  5. Step 5: Solve for x
    x = 57,304,415,521,024/5,146,452
  6. Step 6: Final answer
    x = 11,134,742.06

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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.