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Finding the Third Proportional to 7,211,940,306 and 15,665,375,176

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Solution

The third proportional to 7,211,940,306 and 15,665,375,176 is: 34,027,455,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211,940,306 : 15,665,375,176 = 15,665,375,176 : x
  2. Step 2: Convert to fraction form
    7,211,940,306/15,665,375,176 = 15,665,375,176/x
  3. Step 3: Cross multiply
    7,211,940,306x = 15,665,375,176 × 15,665,375,176
  4. Step 4: Simplify right side
    7,211,940,306x = 245,403,979,404,837,027,840
  5. Step 5: Solve for x
    x = 245,403,979,404,837,027,840/7,211,940,306
  6. Step 6: Final answer
    x = 34,027,455,718.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.