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Finding the Third Proportional to 5,895,788 and 12,500,146

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Solution

The third proportional to 5,895,788 and 12,500,146 is: 26,502,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895,788 : 12,500,146 = 12,500,146 : x
  2. Step 2: Convert to fraction form
    5,895,788/12,500,146 = 12,500,146/x
  3. Step 3: Cross multiply
    5,895,788x = 12,500,146 × 12,500,146
  4. Step 4: Simplify right side
    5,895,788x = 156,253,650,021,316
  5. Step 5: Solve for x
    x = 156,253,650,021,316/5,895,788
  6. Step 6: Final answer
    x = 26,502,589.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.