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Finding the Third Proportional to 4,706,427 and 9,941,622

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Solution

The third proportional to 4,706,427 and 9,941,622 is: 21,000,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,427 : 9,941,622 = 9,941,622 : x
  2. Step 2: Convert to fraction form
    4,706,427/9,941,622 = 9,941,622/x
  3. Step 3: Cross multiply
    4,706,427x = 9,941,622 × 9,941,622
  4. Step 4: Simplify right side
    4,706,427x = 98,835,847,990,884
  5. Step 5: Solve for x
    x = 98,835,847,990,884/4,706,427
  6. Step 6: Final answer
    x = 21,000,187.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.