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Finding the Third Proportional to 5,268,754,196 and 11,455,803,448

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Solution

The third proportional to 5,268,754,196 and 11,455,803,448 is: 24,908,247,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268,754,196 : 11,455,803,448 = 11,455,803,448 : x
  2. Step 2: Convert to fraction form
    5,268,754,196/11,455,803,448 = 11,455,803,448/x
  3. Step 3: Cross multiply
    5,268,754,196x = 11,455,803,448 × 11,455,803,448
  4. Step 4: Simplify right side
    5,268,754,196x = 131,235,432,639,208,685,568
  5. Step 5: Solve for x
    x = 131,235,432,639,208,685,568/5,268,754,196
  6. Step 6: Final answer
    x = 24,908,247,330.81

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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.