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Finding the Third Proportional to 9,136,566 and 12,854,913

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Solution

The third proportional to 9,136,566 and 12,854,913 is: 18,086,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136,566 : 12,854,913 = 12,854,913 : x
  2. Step 2: Convert to fraction form
    9,136,566/12,854,913 = 12,854,913/x
  3. Step 3: Cross multiply
    9,136,566x = 12,854,913 × 12,854,913
  4. Step 4: Simplify right side
    9,136,566x = 165,248,788,237,569
  5. Step 5: Solve for x
    x = 165,248,788,237,569/9,136,566
  6. Step 6: Final answer
    x = 18,086,531.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.