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Finding the Third Proportional to 31,983,894 and 46,776,312

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Solution

The third proportional to 31,983,894 and 46,776,312 is: 68,410,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,983,894 : 46,776,312 = 46,776,312 : x
  2. Step 2: Convert to fraction form
    31,983,894/46,776,312 = 46,776,312/x
  3. Step 3: Cross multiply
    31,983,894x = 46,776,312 × 46,776,312
  4. Step 4: Simplify right side
    31,983,894x = 2,188,023,364,321,344
  5. Step 5: Solve for x
    x = 2,188,023,364,321,344/31,983,894
  6. Step 6: Final answer
    x = 68,410,161.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.