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Finding the Third Proportional to 9,199,716,970 and 20,011,319,279

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Solution

The third proportional to 9,199,716,970 and 20,011,319,279 is: 43,528,828,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,716,970 : 20,011,319,279 = 20,011,319,279 : x
  2. Step 2: Convert to fraction form
    9,199,716,970/20,011,319,279 = 20,011,319,279/x
  3. Step 3: Cross multiply
    9,199,716,970x = 20,011,319,279 × 20,011,319,279
  4. Step 4: Simplify right side
    9,199,716,970x = 400,452,899,286,077,079,552
  5. Step 5: Solve for x
    x = 400,452,899,286,077,079,552/9,199,716,970
  6. Step 6: Final answer
    x = 43,528,828,179.38

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Why These Related Problems?

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