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Finding the Third Proportional to 5,258,438 and 7,866,642

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Solution

The third proportional to 5,258,438 and 7,866,642 is: 11,768,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,438 : 7,866,642 = 7,866,642 : x
  2. Step 2: Convert to fraction form
    5,258,438/7,866,642 = 7,866,642/x
  3. Step 3: Cross multiply
    5,258,438x = 7,866,642 × 7,866,642
  4. Step 4: Simplify right side
    5,258,438x = 61,884,056,356,164
  5. Step 5: Solve for x
    x = 61,884,056,356,164/5,258,438
  6. Step 6: Final answer
    x = 11,768,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.