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Finding the Third Proportional to 3,141,944 and 6,779,876

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Solution

The third proportional to 3,141,944 and 6,779,876 is: 14,630,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,944 : 6,779,876 = 6,779,876 : x
  2. Step 2: Convert to fraction form
    3,141,944/6,779,876 = 6,779,876/x
  3. Step 3: Cross multiply
    3,141,944x = 6,779,876 × 6,779,876
  4. Step 4: Simplify right side
    3,141,944x = 45,966,718,575,376
  5. Step 5: Solve for x
    x = 45,966,718,575,376/3,141,944
  6. Step 6: Final answer
    x = 14,630,024.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.