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Finding the Third Proportional to 10,761,370,974 and 15,147,778,086

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Solution

The third proportional to 10,761,370,974 and 15,147,778,086 is: 21,322,114,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761,370,974 : 15,147,778,086 = 15,147,778,086 : x
  2. Step 2: Convert to fraction form
    10,761,370,974/15,147,778,086 = 15,147,778,086/x
  3. Step 3: Cross multiply
    10,761,370,974x = 15,147,778,086 × 15,147,778,086
  4. Step 4: Simplify right side
    10,761,370,974x = 229,455,180,942,701,821,952
  5. Step 5: Solve for x
    x = 229,455,180,942,701,821,952/10,761,370,974
  6. Step 6: Final answer
    x = 21,322,114,208.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.