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Finding the Third Proportional to 2,842,986 and 6,711,312

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Solution

The third proportional to 2,842,986 and 6,711,312 is: 15,843,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,986 : 6,711,312 = 6,711,312 : x
  2. Step 2: Convert to fraction form
    2,842,986/6,711,312 = 6,711,312/x
  3. Step 3: Cross multiply
    2,842,986x = 6,711,312 × 6,711,312
  4. Step 4: Simplify right side
    2,842,986x = 45,041,708,761,344
  5. Step 5: Solve for x
    x = 45,041,708,761,344/2,842,986
  6. Step 6: Final answer
    x = 15,843,099.04

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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.