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Finding the Third Proportional to 4,666,436,800 and 6,822,493,708

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Solution

The third proportional to 4,666,436,800 and 6,822,493,708 is: 9,974,724,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666,436,800 : 6,822,493,708 = 6,822,493,708 : x
  2. Step 2: Convert to fraction form
    4,666,436,800/6,822,493,708 = 6,822,493,708/x
  3. Step 3: Cross multiply
    4,666,436,800x = 6,822,493,708 × 6,822,493,708
  4. Step 4: Simplify right side
    4,666,436,800x = 46,546,420,395,699,593,216
  5. Step 5: Solve for x
    x = 46,546,420,395,699,593,216/4,666,436,800
  6. Step 6: Final answer
    x = 9,974,724,268.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.