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Finding the Third Proportional to 3,184,901 and 6,929,663

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Solution

The third proportional to 3,184,901 and 6,929,663 is: 15,077,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,901 : 6,929,663 = 6,929,663 : x
  2. Step 2: Convert to fraction form
    3,184,901/6,929,663 = 6,929,663/x
  3. Step 3: Cross multiply
    3,184,901x = 6,929,663 × 6,929,663
  4. Step 4: Simplify right side
    3,184,901x = 48,020,229,293,569
  5. Step 5: Solve for x
    x = 48,020,229,293,569/3,184,901
  6. Step 6: Final answer
    x = 15,077,463.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.