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Finding the Third Proportional to 10,479,445,820 and 22,727,040,208

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Solution

The third proportional to 10,479,445,820 and 22,727,040,208 is: 49,288,709,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479,445,820 : 22,727,040,208 = 22,727,040,208 : x
  2. Step 2: Convert to fraction form
    10,479,445,820/22,727,040,208 = 22,727,040,208/x
  3. Step 3: Cross multiply
    10,479,445,820x = 22,727,040,208 × 22,727,040,208
  4. Step 4: Simplify right side
    10,479,445,820x = 516,518,356,616,048,672,768
  5. Step 5: Solve for x
    x = 516,518,356,616,048,672,768/10,479,445,820
  6. Step 6: Final answer
    x = 49,288,709,106.19

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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.