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Finding the Third Proportional to 3,897,464,074 and 9,197,317,177

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Solution

The third proportional to 3,897,464,074 and 9,197,317,177 is: 21,704,021,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,464,074 : 9,197,317,177 = 9,197,317,177 : x
  2. Step 2: Convert to fraction form
    3,897,464,074/9,197,317,177 = 9,197,317,177/x
  3. Step 3: Cross multiply
    3,897,464,074x = 9,197,317,177 × 9,197,317,177
  4. Step 4: Simplify right side
    3,897,464,074x = 84,590,643,254,339,256,320
  5. Step 5: Solve for x
    x = 84,590,643,254,339,256,320/3,897,464,074
  6. Step 6: Final answer
    x = 21,704,021,293.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.