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Finding the Third Proportional to 31,239,368,497 and 47,589,950,201

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Solution

The third proportional to 31,239,368,497 and 47,589,950,201 is: 72,498,372,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,368,497 : 47,589,950,201 = 47,589,950,201 : x
  2. Step 2: Convert to fraction form
    31,239,368,497/47,589,950,201 = 47,589,950,201/x
  3. Step 3: Cross multiply
    31,239,368,497x = 47,589,950,201 × 47,589,950,201
  4. Step 4: Simplify right side
    31,239,368,497x = 2,264,803,360,133,660,016,640
  5. Step 5: Solve for x
    x = 2,264,803,360,133,660,016,640/31,239,368,497
  6. Step 6: Final answer
    x = 72,498,372,057.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.