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Finding the Third Proportional to 2,927,466 and 6,343,632

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Solution

The third proportional to 2,927,466 and 6,343,632 is: 13,746,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,466 : 6,343,632 = 6,343,632 : x
  2. Step 2: Convert to fraction form
    2,927,466/6,343,632 = 6,343,632/x
  3. Step 3: Cross multiply
    2,927,466x = 6,343,632 × 6,343,632
  4. Step 4: Simplify right side
    2,927,466x = 40,241,666,951,424
  5. Step 5: Solve for x
    x = 40,241,666,951,424/2,927,466
  6. Step 6: Final answer
    x = 13,746,245.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.