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Finding the Third Proportional to 5,146,286 and 7,569,740

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Solution

The third proportional to 5,146,286 and 7,569,740 is: 11,134,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,286 : 7,569,740 = 7,569,740 : x
  2. Step 2: Convert to fraction form
    5,146,286/7,569,740 = 7,569,740/x
  3. Step 3: Cross multiply
    5,146,286x = 7,569,740 × 7,569,740
  4. Step 4: Simplify right side
    5,146,286x = 57,300,963,667,600
  5. Step 5: Solve for x
    x = 57,300,963,667,600/5,146,286
  6. Step 6: Final answer
    x = 11,134,430.47

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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.