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Finding the Third Proportional to 1,356,462,960 and 2,938,328,067

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Solution

The third proportional to 1,356,462,960 and 2,938,328,067 is: 6,364,915,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,462,960 : 2,938,328,067 = 2,938,328,067 : x
  2. Step 2: Convert to fraction form
    1,356,462,960/2,938,328,067 = 2,938,328,067/x
  3. Step 3: Cross multiply
    1,356,462,960x = 2,938,328,067 × 2,938,328,067
  4. Step 4: Simplify right side
    1,356,462,960x = 8,633,771,829,319,956,480
  5. Step 5: Solve for x
    x = 8,633,771,829,319,956,480/1,356,462,960
  6. Step 6: Final answer
    x = 6,364,915,286.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.