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Finding the Third Proportional to 4,403,587,072,873 and 8,932,736,974,895

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Solution

The third proportional to 4,403,587,072,873 and 8,932,736,974,895 is: 18,120,179,876,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,403,587,072,873 : 8,932,736,974,895 = 8,932,736,974,895 : x
  2. Step 2: Convert to fraction form
    4,403,587,072,873/8,932,736,974,895 = 8,932,736,974,895/x
  3. Step 3: Cross multiply
    4,403,587,072,873x = 8,932,736,974,895 × 8,932,736,974,895
  4. Step 4: Simplify right side
    4,403,587,072,873x = 79,793,789,862,656,283,749,908,480
  5. Step 5: Solve for x
    x = 79,793,789,862,656,283,749,908,480/4,403,587,072,873
  6. Step 6: Final answer
    x = 18,120,179,876,583.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.