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Finding the Third Proportional to 9,257,466,198 and 20,283,547,254

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Solution

The third proportional to 9,257,466,198 and 20,283,547,254 is: 44,442,213,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257,466,198 : 20,283,547,254 = 20,283,547,254 : x
  2. Step 2: Convert to fraction form
    9,257,466,198/20,283,547,254 = 20,283,547,254/x
  3. Step 3: Cross multiply
    9,257,466,198x = 20,283,547,254 × 20,283,547,254
  4. Step 4: Simplify right side
    9,257,466,198x = 411,422,289,205,250,949,120
  5. Step 5: Solve for x
    x = 411,422,289,205,250,949,120/9,257,466,198
  6. Step 6: Final answer
    x = 44,442,213,496.19

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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.