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Finding the Third Proportional to 8,407,164 and 13,044,466

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Solution

The third proportional to 8,407,164 and 13,044,466 is: 20,239,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,164 : 13,044,466 = 13,044,466 : x
  2. Step 2: Convert to fraction form
    8,407,164/13,044,466 = 13,044,466/x
  3. Step 3: Cross multiply
    8,407,164x = 13,044,466 × 13,044,466
  4. Step 4: Simplify right side
    8,407,164x = 170,158,093,225,156
  5. Step 5: Solve for x
    x = 170,158,093,225,156/8,407,164
  6. Step 6: Final answer
    x = 20,239,654.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.