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Finding the Third Proportional to 10,084,074 and 22,127,268

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Solution

The third proportional to 10,084,074 and 22,127,268 is: 48,553,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084,074 : 22,127,268 = 22,127,268 : x
  2. Step 2: Convert to fraction form
    10,084,074/22,127,268 = 22,127,268/x
  3. Step 3: Cross multiply
    10,084,074x = 22,127,268 × 22,127,268
  4. Step 4: Simplify right side
    10,084,074x = 489,615,989,143,824
  5. Step 5: Solve for x
    x = 489,615,989,143,824/10,084,074
  6. Step 6: Final answer
    x = 48,553,391.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.