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Finding the Third Proportional to 315,888,110 and 704,367,972

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Solution

The third proportional to 315,888,110 and 704,367,972 is: 1,570,601,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,888,110 : 704,367,972 = 704,367,972 : x
  2. Step 2: Convert to fraction form
    315,888,110/704,367,972 = 704,367,972/x
  3. Step 3: Cross multiply
    315,888,110x = 704,367,972 × 704,367,972
  4. Step 4: Simplify right side
    315,888,110x = 496,134,239,979,392,768
  5. Step 5: Solve for x
    x = 496,134,239,979,392,768/315,888,110
  6. Step 6: Final answer
    x = 1,570,601,185.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.