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Finding the Third Proportional to 31,069,694 and 46,604,568

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Solution

The third proportional to 31,069,694 and 46,604,568 is: 69,906,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069,694 : 46,604,568 = 46,604,568 : x
  2. Step 2: Convert to fraction form
    31,069,694/46,604,568 = 46,604,568/x
  3. Step 3: Cross multiply
    31,069,694x = 46,604,568 × 46,604,568
  4. Step 4: Simplify right side
    31,069,694x = 2,171,985,758,466,624
  5. Step 5: Solve for x
    x = 2,171,985,758,466,624/31,069,694
  6. Step 6: Final answer
    x = 69,906,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.