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Finding the Third Proportional to 4,867,655 and 10,386,823

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Solution

The third proportional to 4,867,655 and 10,386,823 is: 22,163,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,655 : 10,386,823 = 10,386,823 : x
  2. Step 2: Convert to fraction form
    4,867,655/10,386,823 = 10,386,823/x
  3. Step 3: Cross multiply
    4,867,655x = 10,386,823 × 10,386,823
  4. Step 4: Simplify right side
    4,867,655x = 107,886,092,033,329
  5. Step 5: Solve for x
    x = 107,886,092,033,329/4,867,655
  6. Step 6: Final answer
    x = 22,163,873.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.