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Finding the Third Proportional to 4,294,114 and 9,260,792

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Solution

The third proportional to 4,294,114 and 9,260,792 is: 19,972,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294,114 : 9,260,792 = 9,260,792 : x
  2. Step 2: Convert to fraction form
    4,294,114/9,260,792 = 9,260,792/x
  3. Step 3: Cross multiply
    4,294,114x = 9,260,792 × 9,260,792
  4. Step 4: Simplify right side
    4,294,114x = 85,762,268,467,264
  5. Step 5: Solve for x
    x = 85,762,268,467,264/4,294,114
  6. Step 6: Final answer
    x = 19,972,052.09

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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.