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Finding the Third Proportional to 35,579,727 and 77,967,463.50

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Solution

The third proportional to 35,579,727 and 77,967,463.50 is: 170,853,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,579,727 : 77,967,463.50 = 77,967,463.50 : x
  2. Step 2: Convert to fraction form
    35,579,727/77,967,463.50 = 77,967,463.50/x
  3. Step 3: Cross multiply
    35,579,727x = 77,967,463.50 × 77,967,463.50
  4. Step 4: Simplify right side
    35,579,727x = 6,078,925,364,623,832
  5. Step 5: Solve for x
    x = 6,078,925,364,623,832/35,579,727
  6. Step 6: Final answer
    x = 170,853,625.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.