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Finding the Third Proportional to 67,995,473,451 and 145,542,694,755

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Solution

The third proportional to 67,995,473,451 and 145,542,694,755 is: 311,530,678,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,995,473,451 : 145,542,694,755 = 145,542,694,755 : x
  2. Step 2: Convert to fraction form
    67,995,473,451/145,542,694,755 = 145,542,694,755/x
  3. Step 3: Cross multiply
    67,995,473,451x = 145,542,694,755 × 145,542,694,755
  4. Step 4: Simplify right side
    67,995,473,451x = 21,182,675,996,547,104,112,640
  5. Step 5: Solve for x
    x = 21,182,675,996,547,104,112,640/67,995,473,451
  6. Step 6: Final answer
    x = 311,530,678,756.32

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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.