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Finding the Third Proportional to 22,781,650 and 49,890,643

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Solution

The third proportional to 22,781,650 and 49,890,643 is: 109,257,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781,650 : 49,890,643 = 49,890,643 : x
  2. Step 2: Convert to fraction form
    22,781,650/49,890,643 = 49,890,643/x
  3. Step 3: Cross multiply
    22,781,650x = 49,890,643 × 49,890,643
  4. Step 4: Simplify right side
    22,781,650x = 2,489,076,258,953,449
  5. Step 5: Solve for x
    x = 2,489,076,258,953,449/22,781,650
  6. Step 6: Final answer
    x = 109,257,944.84

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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.