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Finding the Third Proportional to 5,005,494,821 and 6,816,629,566

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Solution

The third proportional to 5,005,494,821 and 6,816,629,566 is: 9,283,085,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005,494,821 : 6,816,629,566 = 6,816,629,566 : x
  2. Step 2: Convert to fraction form
    5,005,494,821/6,816,629,566 = 6,816,629,566/x
  3. Step 3: Cross multiply
    5,005,494,821x = 6,816,629,566 × 6,816,629,566
  4. Step 4: Simplify right side
    5,005,494,821x = 46,466,438,640,065,347,584
  5. Step 5: Solve for x
    x = 46,466,438,640,065,347,584/5,005,494,821
  6. Step 6: Final answer
    x = 9,283,085,948.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.