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Finding the Third Proportional to 4,206,922,404 and 8,997,405,960

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Solution

The third proportional to 4,206,922,404 and 8,997,405,960 is: 19,242,882,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,922,404 : 8,997,405,960 = 8,997,405,960 : x
  2. Step 2: Convert to fraction form
    4,206,922,404/8,997,405,960 = 8,997,405,960/x
  3. Step 3: Cross multiply
    4,206,922,404x = 8,997,405,960 × 8,997,405,960
  4. Step 4: Simplify right side
    4,206,922,404x = 80,953,314,009,043,517,440
  5. Step 5: Solve for x
    x = 80,953,314,009,043,517,440/4,206,922,404
  6. Step 6: Final answer
    x = 19,242,882,619.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.