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Finding the Third Proportional to 2,182,081,948 and 4,786,626,199

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Solution

The third proportional to 2,182,081,948 and 4,786,626,199 is: 10,499,967,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,948 : 4,786,626,199 = 4,786,626,199 : x
  2. Step 2: Convert to fraction form
    2,182,081,948/4,786,626,199 = 4,786,626,199/x
  3. Step 3: Cross multiply
    2,182,081,948x = 4,786,626,199 × 4,786,626,199
  4. Step 4: Simplify right side
    2,182,081,948x = 22,911,790,368,953,188,352
  5. Step 5: Solve for x
    x = 22,911,790,368,953,188,352/2,182,081,948
  6. Step 6: Final answer
    x = 10,499,967,881.57

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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.