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Finding the Third Proportional to 3,897,465,662 and 9,197,321,423

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Solution

The third proportional to 3,897,465,662 and 9,197,321,423 is: 21,704,032,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,465,662 : 9,197,321,423 = 9,197,321,423 : x
  2. Step 2: Convert to fraction form
    3,897,465,662/9,197,321,423 = 9,197,321,423/x
  3. Step 3: Cross multiply
    3,897,465,662x = 9,197,321,423 × 9,197,321,423
  4. Step 4: Simplify right side
    3,897,465,662x = 84,590,721,357,974,749,184
  5. Step 5: Solve for x
    x = 84,590,721,357,974,749,184/3,897,465,662
  6. Step 6: Final answer
    x = 21,704,032,490.33

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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.