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Finding the Third Proportional to 10,367,838 and 22,622,328

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Solution

The third proportional to 10,367,838 and 22,622,328 is: 49,361,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,838 : 22,622,328 = 22,622,328 : x
  2. Step 2: Convert to fraction form
    10,367,838/22,622,328 = 22,622,328/x
  3. Step 3: Cross multiply
    10,367,838x = 22,622,328 × 22,622,328
  4. Step 4: Simplify right side
    10,367,838x = 511,769,724,139,584
  5. Step 5: Solve for x
    x = 511,769,724,139,584/10,367,838
  6. Step 6: Final answer
    x = 49,361,277.07

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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.