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Finding the Third Proportional to 4,869,834 and 7,569,999

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Solution

The third proportional to 4,869,834 and 7,569,999 is: 11,767,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,834 : 7,569,999 = 7,569,999 : x
  2. Step 2: Convert to fraction form
    4,869,834/7,569,999 = 7,569,999/x
  3. Step 3: Cross multiply
    4,869,834x = 7,569,999 × 7,569,999
  4. Step 4: Simplify right side
    4,869,834x = 57,304,884,860,001
  5. Step 5: Solve for x
    x = 57,304,884,860,001/4,869,834
  6. Step 6: Final answer
    x = 11,767,317.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.