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Finding the Third Proportional to 2,777,583,764 and 4,231,492,912

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Solution

The third proportional to 2,777,583,764 and 4,231,492,912 is: 6,446,441,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777,583,764 : 4,231,492,912 = 4,231,492,912 : x
  2. Step 2: Convert to fraction form
    2,777,583,764/4,231,492,912 = 4,231,492,912/x
  3. Step 3: Cross multiply
    2,777,583,764x = 4,231,492,912 × 4,231,492,912
  4. Step 4: Simplify right side
    2,777,583,764x = 17,905,532,264,306,239,488
  5. Step 5: Solve for x
    x = 17,905,532,264,306,239,488/2,777,583,764
  6. Step 6: Final answer
    x = 6,446,441,866.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.