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Finding the Third Proportional to 4,294,023 and 9,260,601

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Solution

The third proportional to 4,294,023 and 9,260,601 is: 19,971,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,023 : 9,260,601 = 9,260,601 : x
  2. Step 2: Convert to fraction form
    4,294,023/9,260,601 = 9,260,601/x
  3. Step 3: Cross multiply
    4,294,023x = 9,260,601 × 9,260,601
  4. Step 4: Simplify right side
    4,294,023x = 85,758,730,881,201
  5. Step 5: Solve for x
    x = 85,758,730,881,201/4,294,023
  6. Step 6: Final answer
    x = 19,971,651.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.