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Finding the Third Proportional to 2,913,867 and 6,182,784

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Solution

The third proportional to 2,913,867 and 6,182,784 is: 13,118,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,867 : 6,182,784 = 6,182,784 : x
  2. Step 2: Convert to fraction form
    2,913,867/6,182,784 = 6,182,784/x
  3. Step 3: Cross multiply
    2,913,867x = 6,182,784 × 6,182,784
  4. Step 4: Simplify right side
    2,913,867x = 38,226,817,990,656
  5. Step 5: Solve for x
    x = 38,226,817,990,656/2,913,867
  6. Step 6: Final answer
    x = 13,118,930.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.