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Finding the Third Proportional to 8,249,850 and 17,763,512

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Solution

The third proportional to 8,249,850 and 17,763,512 is: 38,248,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249,850 : 17,763,512 = 17,763,512 : x
  2. Step 2: Convert to fraction form
    8,249,850/17,763,512 = 17,763,512/x
  3. Step 3: Cross multiply
    8,249,850x = 17,763,512 × 17,763,512
  4. Step 4: Simplify right side
    8,249,850x = 315,542,358,574,144
  5. Step 5: Solve for x
    x = 315,542,358,574,144/8,249,850
  6. Step 6: Final answer
    x = 38,248,254.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.