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Finding the Third Proportional to 10,193,070 and 22,400,367

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Solution

The third proportional to 10,193,070 and 22,400,367 is: 49,227,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193,070 : 22,400,367 = 22,400,367 : x
  2. Step 2: Convert to fraction form
    10,193,070/22,400,367 = 22,400,367/x
  3. Step 3: Cross multiply
    10,193,070x = 22,400,367 × 22,400,367
  4. Step 4: Simplify right side
    10,193,070x = 501,776,441,734,689
  5. Step 5: Solve for x
    x = 501,776,441,734,689/10,193,070
  6. Step 6: Final answer
    x = 49,227,214.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.