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Finding the Third Proportional to 2,049,775,854.75 and 4,244,900,823

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Solution

The third proportional to 2,049,775,854.75 and 4,244,900,823 is: 8,790,806,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,775,854.75 : 4,244,900,823 = 4,244,900,823 : x
  2. Step 2: Convert to fraction form
    2,049,775,854.75/4,244,900,823 = 4,244,900,823/x
  3. Step 3: Cross multiply
    2,049,775,854.75x = 4,244,900,823 × 4,244,900,823
  4. Step 4: Simplify right side
    2,049,775,854.75x = 18,019,182,997,106,077,696
  5. Step 5: Solve for x
    x = 18,019,182,997,106,077,696/2,049,775,854.75
  6. Step 6: Final answer
    x = 8,790,806,543.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.