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Finding the Third Proportional to 6,041,498 and 13,134,834

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Solution

The third proportional to 6,041,498 and 13,134,834 is: 28,556,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041,498 : 13,134,834 = 13,134,834 : x
  2. Step 2: Convert to fraction form
    6,041,498/13,134,834 = 13,134,834/x
  3. Step 3: Cross multiply
    6,041,498x = 13,134,834 × 13,134,834
  4. Step 4: Simplify right side
    6,041,498x = 172,523,864,207,556
  5. Step 5: Solve for x
    x = 172,523,864,207,556/6,041,498
  6. Step 6: Final answer
    x = 28,556,471.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.