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Finding the Third Proportional to 10,208,207 and 22,270,941

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Solution

The third proportional to 10,208,207 and 22,270,941 is: 48,587,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208,207 : 22,270,941 = 22,270,941 : x
  2. Step 2: Convert to fraction form
    10,208,207/22,270,941 = 22,270,941/x
  3. Step 3: Cross multiply
    10,208,207x = 22,270,941 × 22,270,941
  4. Step 4: Simplify right side
    10,208,207x = 495,994,813,025,481
  5. Step 5: Solve for x
    x = 495,994,813,025,481/10,208,207
  6. Step 6: Final answer
    x = 48,587,848.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.