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Finding the Third Proportional to 10,426,903 and 22,707,468

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Solution

The third proportional to 10,426,903 and 22,707,468 is: 49,451,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426,903 : 22,707,468 = 22,707,468 : x
  2. Step 2: Convert to fraction form
    10,426,903/22,707,468 = 22,707,468/x
  3. Step 3: Cross multiply
    10,426,903x = 22,707,468 × 22,707,468
  4. Step 4: Simplify right side
    10,426,903x = 515,629,102,971,024
  5. Step 5: Solve for x
    x = 515,629,102,971,024/10,426,903
  6. Step 6: Final answer
    x = 49,451,798.20

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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.