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Finding the Third Proportional to 35,463,184 and 77,561,888

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Solution

The third proportional to 35,463,184 and 77,561,888 is: 169,636,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,463,184 : 77,561,888 = 77,561,888 : x
  2. Step 2: Convert to fraction form
    35,463,184/77,561,888 = 77,561,888/x
  3. Step 3: Cross multiply
    35,463,184x = 77,561,888 × 77,561,888
  4. Step 4: Simplify right side
    35,463,184x = 6,015,846,470,124,544
  5. Step 5: Solve for x
    x = 6,015,846,470,124,544/35,463,184
  6. Step 6: Final answer
    x = 169,636,388.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.