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Finding the Third Proportional to 43,925,866,022 and 61,857,298,733

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Solution

The third proportional to 43,925,866,022 and 61,857,298,733 is: 87,108,707,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,925,866,022 : 61,857,298,733 = 61,857,298,733 : x
  2. Step 2: Convert to fraction form
    43,925,866,022/61,857,298,733 = 61,857,298,733/x
  3. Step 3: Cross multiply
    43,925,866,022x = 61,857,298,733 × 61,857,298,733
  4. Step 4: Simplify right side
    43,925,866,022x = 3,826,325,406,543,603,302,400
  5. Step 5: Solve for x
    x = 3,826,325,406,543,603,302,400/43,925,866,022
  6. Step 6: Final answer
    x = 87,108,707,307.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.