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Finding the Third Proportional to 2,927,471 and 6,343,642

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Solution

The third proportional to 2,927,471 and 6,343,642 is: 13,746,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,471 : 6,343,642 = 6,343,642 : x
  2. Step 2: Convert to fraction form
    2,927,471/6,343,642 = 6,343,642/x
  3. Step 3: Cross multiply
    2,927,471x = 6,343,642 × 6,343,642
  4. Step 4: Simplify right side
    2,927,471x = 40,241,793,824,164
  5. Step 5: Solve for x
    x = 40,241,793,824,164/2,927,471
  6. Step 6: Final answer
    x = 13,746,265.57

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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.