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Finding the Third Proportional to 2,959,046 and 6,367,521

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Solution

The third proportional to 2,959,046 and 6,367,521 is: 13,702,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,046 : 6,367,521 = 6,367,521 : x
  2. Step 2: Convert to fraction form
    2,959,046/6,367,521 = 6,367,521/x
  3. Step 3: Cross multiply
    2,959,046x = 6,367,521 × 6,367,521
  4. Step 4: Simplify right side
    2,959,046x = 40,545,323,685,441
  5. Step 5: Solve for x
    x = 40,545,323,685,441/2,959,046
  6. Step 6: Final answer
    x = 13,702,160.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.