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Finding the Third Proportional to 7,891,543,754 and 17,172,317,212

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Solution

The third proportional to 7,891,543,754 and 17,172,317,212 is: 37,367,654,241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891,543,754 : 17,172,317,212 = 17,172,317,212 : x
  2. Step 2: Convert to fraction form
    7,891,543,754/17,172,317,212 = 17,172,317,212/x
  3. Step 3: Cross multiply
    7,891,543,754x = 17,172,317,212 × 17,172,317,212
  4. Step 4: Simplify right side
    7,891,543,754x = 294,888,478,429,551,460,352
  5. Step 5: Solve for x
    x = 294,888,478,429,551,460,352/7,891,543,754
  6. Step 6: Final answer
    x = 37,367,654,241.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.