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Finding the Third Proportional to 13,930,000 and 29,270,048

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Solution

The third proportional to 13,930,000 and 29,270,048 is: 61,502,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,000 : 29,270,048 = 29,270,048 : x
  2. Step 2: Convert to fraction form
    13,930,000/29,270,048 = 29,270,048/x
  3. Step 3: Cross multiply
    13,930,000x = 29,270,048 × 29,270,048
  4. Step 4: Simplify right side
    13,930,000x = 856,735,709,922,304
  5. Step 5: Solve for x
    x = 856,735,709,922,304/13,930,000
  6. Step 6: Final answer
    x = 61,502,922.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.