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Finding the Third Proportional to 7,297,480 and 11,447,524

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Solution

The third proportional to 7,297,480 and 11,447,524 is: 17,957,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297,480 : 11,447,524 = 11,447,524 : x
  2. Step 2: Convert to fraction form
    7,297,480/11,447,524 = 11,447,524/x
  3. Step 3: Cross multiply
    7,297,480x = 11,447,524 × 11,447,524
  4. Step 4: Simplify right side
    7,297,480x = 131,045,805,730,576
  5. Step 5: Solve for x
    x = 131,045,805,730,576/7,297,480
  6. Step 6: Final answer
    x = 17,957,679.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.