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Finding the Third Proportional to 4,547,682 and 6,868,909

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Solution

The third proportional to 4,547,682 and 6,868,909 is: 10,374,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547,682 : 6,868,909 = 6,868,909 : x
  2. Step 2: Convert to fraction form
    4,547,682/6,868,909 = 6,868,909/x
  3. Step 3: Cross multiply
    4,547,682x = 6,868,909 × 6,868,909
  4. Step 4: Simplify right side
    4,547,682x = 47,181,910,850,281
  5. Step 5: Solve for x
    x = 47,181,910,850,281/4,547,682
  6. Step 6: Final answer
    x = 10,374,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.