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Finding the Third Proportional to 6,061,312 and 9,202,560

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Solution

The third proportional to 6,061,312 and 9,202,560 is: 13,971,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061,312 : 9,202,560 = 9,202,560 : x
  2. Step 2: Convert to fraction form
    6,061,312/9,202,560 = 9,202,560/x
  3. Step 3: Cross multiply
    6,061,312x = 9,202,560 × 9,202,560
  4. Step 4: Simplify right side
    6,061,312x = 84,687,110,553,600
  5. Step 5: Solve for x
    x = 84,687,110,553,600/6,061,312
  6. Step 6: Final answer
    x = 13,971,745.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.