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Finding the Third Proportional to 3,146,049 and 6,740,514

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Solution

The third proportional to 3,146,049 and 6,740,514 is: 14,441,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,049 : 6,740,514 = 6,740,514 : x
  2. Step 2: Convert to fraction form
    3,146,049/6,740,514 = 6,740,514/x
  3. Step 3: Cross multiply
    3,146,049x = 6,740,514 × 6,740,514
  4. Step 4: Simplify right side
    3,146,049x = 45,434,528,984,196
  5. Step 5: Solve for x
    x = 45,434,528,984,196/3,146,049
  6. Step 6: Final answer
    x = 14,441,774.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.