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Finding the Third Proportional to 22,862,142 and 49,313,826

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Solution

The third proportional to 22,862,142 and 49,313,826 is: 106,370,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862,142 : 49,313,826 = 49,313,826 : x
  2. Step 2: Convert to fraction form
    22,862,142/49,313,826 = 49,313,826/x
  3. Step 3: Cross multiply
    22,862,142x = 49,313,826 × 49,313,826
  4. Step 4: Simplify right side
    22,862,142x = 2,431,853,434,758,276
  5. Step 5: Solve for x
    x = 2,431,853,434,758,276/22,862,142
  6. Step 6: Final answer
    x = 106,370,323.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.