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Finding the Third Proportional to 4,867,669 and 10,386,850

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Solution

The third proportional to 4,867,669 and 10,386,850 is: 22,163,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867,669 : 10,386,850 = 10,386,850 : x
  2. Step 2: Convert to fraction form
    4,867,669/10,386,850 = 10,386,850/x
  3. Step 3: Cross multiply
    4,867,669x = 10,386,850 × 10,386,850
  4. Step 4: Simplify right side
    4,867,669x = 107,886,652,922,500
  5. Step 5: Solve for x
    x = 107,886,652,922,500/4,867,669
  6. Step 6: Final answer
    x = 22,163,925.47

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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.