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Finding the Third Proportional to 36,202,340,237 and 77,937,525,009

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Solution

The third proportional to 36,202,340,237 and 77,937,525,009 is: 167,786,329,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,237 : 77,937,525,009 = 77,937,525,009 : x
  2. Step 2: Convert to fraction form
    36,202,340,237/77,937,525,009 = 77,937,525,009/x
  3. Step 3: Cross multiply
    36,202,340,237x = 77,937,525,009 × 77,937,525,009
  4. Step 4: Simplify right side
    36,202,340,237x = 6,074,257,804,528,500,867,072
  5. Step 5: Solve for x
    x = 6,074,257,804,528,500,867,072/36,202,340,237
  6. Step 6: Final answer
    x = 167,786,329,965.50

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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.