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Finding the Third Proportional to 77,206,574 and 117,618,888

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Solution

The third proportional to 77,206,574 and 117,618,888 is: 179,184,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206,574 : 117,618,888 = 117,618,888 : x
  2. Step 2: Convert to fraction form
    77,206,574/117,618,888 = 117,618,888/x
  3. Step 3: Cross multiply
    77,206,574x = 117,618,888 × 117,618,888
  4. Step 4: Simplify right side
    77,206,574x = 13,834,202,814,356,544
  5. Step 5: Solve for x
    x = 13,834,202,814,356,544/77,206,574
  6. Step 6: Final answer
    x = 179,184,259.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.