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Finding the Third Proportional to 3,897,465,666 and 9,197,321,433

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Solution

The third proportional to 3,897,465,666 and 9,197,321,433 is: 21,704,032,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,465,666 : 9,197,321,433 = 9,197,321,433 : x
  2. Step 2: Convert to fraction form
    3,897,465,666/9,197,321,433 = 9,197,321,433/x
  3. Step 3: Cross multiply
    3,897,465,666x = 9,197,321,433 × 9,197,321,433
  4. Step 4: Simplify right side
    3,897,465,666x = 84,590,721,541,921,177,600
  5. Step 5: Solve for x
    x = 84,590,721,541,921,177,600/3,897,465,666
  6. Step 6: Final answer
    x = 21,704,032,515.25

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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.