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Finding the Third Proportional to 2,842,965 and 6,711,275.25

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Solution

The third proportional to 2,842,965 and 6,711,275.25 is: 15,843,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,965 : 6,711,275.25 = 6,711,275.25 : x
  2. Step 2: Convert to fraction form
    2,842,965/6,711,275.25 = 6,711,275.25/x
  3. Step 3: Cross multiply
    2,842,965x = 6,711,275.25 × 6,711,275.25
  4. Step 4: Simplify right side
    2,842,965x = 45,041,215,481,262.56
  5. Step 5: Solve for x
    x = 45,041,215,481,262.56/2,842,965
  6. Step 6: Final answer
    x = 15,843,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.