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Finding the Third Proportional to 31,032,039 and 65,846,670

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Solution

The third proportional to 31,032,039 and 65,846,670 is: 139,719,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032,039 : 65,846,670 = 65,846,670 : x
  2. Step 2: Convert to fraction form
    31,032,039/65,846,670 = 65,846,670/x
  3. Step 3: Cross multiply
    31,032,039x = 65,846,670 × 65,846,670
  4. Step 4: Simplify right side
    31,032,039x = 4,335,783,950,088,900
  5. Step 5: Solve for x
    x = 4,335,783,950,088,900/31,032,039
  6. Step 6: Final answer
    x = 139,719,595.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.