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Finding the Third Proportional to 852,282,567 and 1,991,317,347

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Solution

The third proportional to 852,282,567 and 1,991,317,347 is: 4,652,617,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,282,567 : 1,991,317,347 = 1,991,317,347 : x
  2. Step 2: Convert to fraction form
    852,282,567/1,991,317,347 = 1,991,317,347/x
  3. Step 3: Cross multiply
    852,282,567x = 1,991,317,347 × 1,991,317,347
  4. Step 4: Simplify right side
    852,282,567x = 3,965,344,776,463,118,336
  5. Step 5: Solve for x
    x = 3,965,344,776,463,118,336/852,282,567
  6. Step 6: Final answer
    x = 4,652,617,488.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.