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Finding the Third Proportional to 1,206,896,667 and 2,606,109,366

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Solution

The third proportional to 1,206,896,667 and 2,606,109,366 is: 5,627,495,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,896,667 : 2,606,109,366 = 2,606,109,366 : x
  2. Step 2: Convert to fraction form
    1,206,896,667/2,606,109,366 = 2,606,109,366/x
  3. Step 3: Cross multiply
    1,206,896,667x = 2,606,109,366 × 2,606,109,366
  4. Step 4: Simplify right side
    1,206,896,667x = 6,791,806,027,552,921,600
  5. Step 5: Solve for x
    x = 6,791,806,027,552,921,600/1,206,896,667
  6. Step 6: Final answer
    x = 5,627,495,885.32

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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.