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Finding the Third Proportional to 10,586,226 and 22,964,498

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Solution

The third proportional to 10,586,226 and 22,964,498 is: 49,816,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586,226 : 22,964,498 = 22,964,498 : x
  2. Step 2: Convert to fraction form
    10,586,226/22,964,498 = 22,964,498/x
  3. Step 3: Cross multiply
    10,586,226x = 22,964,498 × 22,964,498
  4. Step 4: Simplify right side
    10,586,226x = 527,368,168,392,004
  5. Step 5: Solve for x
    x = 527,368,168,392,004/10,586,226
  6. Step 6: Final answer
    x = 49,816,447.18

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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.