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Finding the Third Proportional to 10,367,025 and 22,623,557

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Solution

The third proportional to 10,367,025 and 22,623,557 is: 49,370,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,025 : 22,623,557 = 22,623,557 : x
  2. Step 2: Convert to fraction form
    10,367,025/22,623,557 = 22,623,557/x
  3. Step 3: Cross multiply
    10,367,025x = 22,623,557 × 22,623,557
  4. Step 4: Simplify right side
    10,367,025x = 511,825,331,332,249
  5. Step 5: Solve for x
    x = 511,825,331,332,249/10,367,025
  6. Step 6: Final answer
    x = 49,370,511.92

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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.