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Finding the Third Proportional to 7,551,736,477 and 11,846,445,998

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Solution

The third proportional to 7,551,736,477 and 11,846,445,998 is: 18,583,577,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551,736,477 : 11,846,445,998 = 11,846,445,998 : x
  2. Step 2: Convert to fraction form
    7,551,736,477/11,846,445,998 = 11,846,445,998/x
  3. Step 3: Cross multiply
    7,551,736,477x = 11,846,445,998 × 11,846,445,998
  4. Step 4: Simplify right side
    7,551,736,477x = 140,338,282,783,530,221,568
  5. Step 5: Solve for x
    x = 140,338,282,783,530,221,568/7,551,736,477
  6. Step 6: Final answer
    x = 18,583,577,858.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.