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Finding the Third Proportional to 5,152,092 and 6,996,963

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Solution

The third proportional to 5,152,092 and 6,996,963 is: 9,502,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,092 : 6,996,963 = 6,996,963 : x
  2. Step 2: Convert to fraction form
    5,152,092/6,996,963 = 6,996,963/x
  3. Step 3: Cross multiply
    5,152,092x = 6,996,963 × 6,996,963
  4. Step 4: Simplify right side
    5,152,092x = 48,957,491,223,369
  5. Step 5: Solve for x
    x = 48,957,491,223,369/5,152,092
  6. Step 6: Final answer
    x = 9,502,448.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.