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Finding the Third Proportional to 36,202,340,241 and 77,937,525,017

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Solution

The third proportional to 36,202,340,241 and 77,937,525,017 is: 167,786,329,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,241 : 77,937,525,017 = 77,937,525,017 : x
  2. Step 2: Convert to fraction form
    36,202,340,241/77,937,525,017 = 77,937,525,017/x
  3. Step 3: Cross multiply
    36,202,340,241x = 77,937,525,017 × 77,937,525,017
  4. Step 4: Simplify right side
    36,202,340,241x = 6,074,257,805,775,501,000,704
  5. Step 5: Solve for x
    x = 6,074,257,805,775,501,000,704/36,202,340,241
  6. Step 6: Final answer
    x = 167,786,329,981.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.