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Finding the Third Proportional to 10,426,891 and 22,707,445

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Solution

The third proportional to 10,426,891 and 22,707,445 is: 49,451,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426,891 : 22,707,445 = 22,707,445 : x
  2. Step 2: Convert to fraction form
    10,426,891/22,707,445 = 22,707,445/x
  3. Step 3: Cross multiply
    10,426,891x = 22,707,445 × 22,707,445
  4. Step 4: Simplify right side
    10,426,891x = 515,628,058,428,025
  5. Step 5: Solve for x
    x = 515,628,058,428,025/10,426,891
  6. Step 6: Final answer
    x = 49,451,754.93

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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.