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Finding the Third Proportional to 10,261,901 and 22,309,985

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Solution

The third proportional to 10,261,901 and 22,309,985 is: 48,503,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261,901 : 22,309,985 = 22,309,985 : x
  2. Step 2: Convert to fraction form
    10,261,901/22,309,985 = 22,309,985/x
  3. Step 3: Cross multiply
    10,261,901x = 22,309,985 × 22,309,985
  4. Step 4: Simplify right side
    10,261,901x = 497,735,430,700,225
  5. Step 5: Solve for x
    x = 497,735,430,700,225/10,261,901
  6. Step 6: Final answer
    x = 48,503,238.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.