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Finding the Third Proportional to 10,095,069 and 22,017,214

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Solution

The third proportional to 10,095,069 and 22,017,214 is: 48,019,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095,069 : 22,017,214 = 22,017,214 : x
  2. Step 2: Convert to fraction form
    10,095,069/22,017,214 = 22,017,214/x
  3. Step 3: Cross multiply
    10,095,069x = 22,017,214 × 22,017,214
  4. Step 4: Simplify right side
    10,095,069x = 484,757,712,321,796
  5. Step 5: Solve for x
    x = 484,757,712,321,796/10,095,069
  6. Step 6: Final answer
    x = 48,019,256.96

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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.