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Finding the Third Proportional to 259,322,184 and 566,034,888

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Solution

The third proportional to 259,322,184 and 566,034,888 is: 1,235,511,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322,184 : 566,034,888 = 566,034,888 : x
  2. Step 2: Convert to fraction form
    259,322,184/566,034,888 = 566,034,888/x
  3. Step 3: Cross multiply
    259,322,184x = 566,034,888 × 566,034,888
  4. Step 4: Simplify right side
    259,322,184x = 320,395,494,433,172,544
  5. Step 5: Solve for x
    x = 320,395,494,433,172,544/259,322,184
  6. Step 6: Final answer
    x = 1,235,511,322.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.