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Finding the Third Proportional to 10,426,954 and 22,707,584

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Solution

The third proportional to 10,426,954 and 22,707,584 is: 49,452,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426,954 : 22,707,584 = 22,707,584 : x
  2. Step 2: Convert to fraction form
    10,426,954/22,707,584 = 22,707,584/x
  3. Step 3: Cross multiply
    10,426,954x = 22,707,584 × 22,707,584
  4. Step 4: Simplify right side
    10,426,954x = 515,634,371,117,056
  5. Step 5: Solve for x
    x = 515,634,371,117,056/10,426,954
  6. Step 6: Final answer
    x = 49,452,061.56

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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.