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Finding the Third Proportional to 67,995,473,456 and 145,542,694,765

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Solution

The third proportional to 67,995,473,456 and 145,542,694,765 is: 311,530,678,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,995,473,456 : 145,542,694,765 = 145,542,694,765 : x
  2. Step 2: Convert to fraction form
    67,995,473,456/145,542,694,765 = 145,542,694,765/x
  3. Step 3: Cross multiply
    67,995,473,456x = 145,542,694,765 × 145,542,694,765
  4. Step 4: Simplify right side
    67,995,473,456x = 21,182,675,999,457,959,477,248
  5. Step 5: Solve for x
    x = 21,182,675,999,457,959,477,248/67,995,473,456
  6. Step 6: Final answer
    x = 311,530,678,776.22

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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.