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Finding the Third Proportional to 22,688,006 and 49,784,284

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Solution

The third proportional to 22,688,006 and 49,784,284 is: 109,241,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688,006 : 49,784,284 = 49,784,284 : x
  2. Step 2: Convert to fraction form
    22,688,006/49,784,284 = 49,784,284/x
  3. Step 3: Cross multiply
    22,688,006x = 49,784,284 × 49,784,284
  4. Step 4: Simplify right side
    22,688,006x = 2,478,474,933,392,656
  5. Step 5: Solve for x
    x = 2,478,474,933,392,656/22,688,006
  6. Step 6: Final answer
    x = 109,241,637.78

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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.