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Finding the Third Proportional to 4,201,056 and 8,999,892

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Solution

The third proportional to 4,201,056 and 8,999,892 is: 19,280,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,056 : 8,999,892 = 8,999,892 : x
  2. Step 2: Convert to fraction form
    4,201,056/8,999,892 = 8,999,892/x
  3. Step 3: Cross multiply
    4,201,056x = 8,999,892 × 8,999,892
  4. Step 4: Simplify right side
    4,201,056x = 80,998,056,011,664
  5. Step 5: Solve for x
    x = 80,998,056,011,664/4,201,056
  6. Step 6: Final answer
    x = 19,280,403.79

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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.