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Finding the Third Proportional to 4,381,777,584 and 6,787,268,754

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Solution

The third proportional to 4,381,777,584 and 6,787,268,754 is: 10,513,317,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381,777,584 : 6,787,268,754 = 6,787,268,754 : x
  2. Step 2: Convert to fraction form
    4,381,777,584/6,787,268,754 = 6,787,268,754/x
  3. Step 3: Cross multiply
    4,381,777,584x = 6,787,268,754 × 6,787,268,754
  4. Step 4: Simplify right side
    4,381,777,584x = 46,067,017,139,024,715,776
  5. Step 5: Solve for x
    x = 46,067,017,139,024,715,776/4,381,777,584
  6. Step 6: Final answer
    x = 10,513,317,085.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.