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Finding the Third Proportional to 9,766,800 and 14,367,942

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Solution

The third proportional to 9,766,800 and 14,367,942 is: 21,136,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766,800 : 14,367,942 = 14,367,942 : x
  2. Step 2: Convert to fraction form
    9,766,800/14,367,942 = 14,367,942/x
  3. Step 3: Cross multiply
    9,766,800x = 14,367,942 × 14,367,942
  4. Step 4: Simplify right side
    9,766,800x = 206,437,757,315,364
  5. Step 5: Solve for x
    x = 206,437,757,315,364/9,766,800
  6. Step 6: Final answer
    x = 21,136,683.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.