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Finding the Third Proportional to 4,201,084 and 8,999,948

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Solution

The third proportional to 4,201,084 and 8,999,948 is: 19,280,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,084 : 8,999,948 = 8,999,948 : x
  2. Step 2: Convert to fraction form
    4,201,084/8,999,948 = 8,999,948/x
  3. Step 3: Cross multiply
    4,201,084x = 8,999,948 × 8,999,948
  4. Step 4: Simplify right side
    4,201,084x = 80,999,064,002,704
  5. Step 5: Solve for x
    x = 80,999,064,002,704/4,201,084
  6. Step 6: Final answer
    x = 19,280,515.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.