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Finding the Third Proportional to 56,662,214 and 123,894,278

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Solution

The third proportional to 56,662,214 and 123,894,278 is: 270,899,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662,214 : 123,894,278 = 123,894,278 : x
  2. Step 2: Convert to fraction form
    56,662,214/123,894,278 = 123,894,278/x
  3. Step 3: Cross multiply
    56,662,214x = 123,894,278 × 123,894,278
  4. Step 4: Simplify right side
    56,662,214x = 15,349,792,121,141,284
  5. Step 5: Solve for x
    x = 15,349,792,121,141,284/56,662,214
  6. Step 6: Final answer
    x = 270,899,970.85

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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.