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Finding the Third Proportional to 215,329,372 and 472,346,976

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Solution

The third proportional to 215,329,372 and 472,346,976 is: 1,036,141,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,372 : 472,346,976 = 472,346,976 : x
  2. Step 2: Convert to fraction form
    215,329,372/472,346,976 = 472,346,976/x
  3. Step 3: Cross multiply
    215,329,372x = 472,346,976 × 472,346,976
  4. Step 4: Simplify right side
    215,329,372x = 223,111,665,736,344,576
  5. Step 5: Solve for x
    x = 223,111,665,736,344,576/215,329,372
  6. Step 6: Final answer
    x = 1,036,141,347.85

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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.