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Finding the Third Proportional to 3,031,456 and 6,543,711

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Solution

The third proportional to 3,031,456 and 6,543,711 is: 14,125,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031,456 : 6,543,711 = 6,543,711 : x
  2. Step 2: Convert to fraction form
    3,031,456/6,543,711 = 6,543,711/x
  3. Step 3: Cross multiply
    3,031,456x = 6,543,711 × 6,543,711
  4. Step 4: Simplify right side
    3,031,456x = 42,820,153,651,521
  5. Step 5: Solve for x
    x = 42,820,153,651,521/3,031,456
  6. Step 6: Final answer
    x = 14,125,276.32

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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.