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Finding the Third Proportional to 215,329,367 and 472,346,965

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Solution

The third proportional to 215,329,367 and 472,346,965 is: 1,036,141,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,367 : 472,346,965 = 472,346,965 : x
  2. Step 2: Convert to fraction form
    215,329,367/472,346,965 = 472,346,965/x
  3. Step 3: Cross multiply
    215,329,367x = 472,346,965 × 472,346,965
  4. Step 4: Simplify right side
    215,329,367x = 223,111,655,344,711,232
  5. Step 5: Solve for x
    x = 223,111,655,344,711,232/215,329,367
  6. Step 6: Final answer
    x = 1,036,141,323.65

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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.