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Finding the Third Proportional to 36,202,340,239 and 77,937,525,013

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Solution

The third proportional to 36,202,340,239 and 77,937,525,013 is: 167,786,329,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,239 : 77,937,525,013 = 77,937,525,013 : x
  2. Step 2: Convert to fraction form
    36,202,340,239/77,937,525,013 = 77,937,525,013/x
  3. Step 3: Cross multiply
    36,202,340,239x = 77,937,525,013 × 77,937,525,013
  4. Step 4: Simplify right side
    36,202,340,239x = 6,074,257,805,152,000,933,888
  5. Step 5: Solve for x
    x = 6,074,257,805,152,000,933,888/36,202,340,239
  6. Step 6: Final answer
    x = 167,786,329,973.45

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