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Finding the Third Proportional to 31,984,146 and 46,776,663

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Solution

The third proportional to 31,984,146 and 46,776,663 is: 68,410,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,146 : 46,776,663 = 46,776,663 : x
  2. Step 2: Convert to fraction form
    31,984,146/46,776,663 = 46,776,663/x
  3. Step 3: Cross multiply
    31,984,146x = 46,776,663 × 46,776,663
  4. Step 4: Simplify right side
    31,984,146x = 2,188,056,201,415,569
  5. Step 5: Solve for x
    x = 2,188,056,201,415,569/31,984,146
  6. Step 6: Final answer
    x = 68,410,649.50

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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.