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Finding the Third Proportional to 9,992,423 and 21,791,992

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Solution

The third proportional to 9,992,423 and 21,791,992 is: 47,525,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,423 : 21,791,992 = 21,791,992 : x
  2. Step 2: Convert to fraction form
    9,992,423/21,791,992 = 21,791,992/x
  3. Step 3: Cross multiply
    9,992,423x = 21,791,992 × 21,791,992
  4. Step 4: Simplify right side
    9,992,423x = 474,890,915,328,064
  5. Step 5: Solve for x
    x = 474,890,915,328,064/9,992,423
  6. Step 6: Final answer
    x = 47,525,101.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.