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Finding the Third Proportional to 14,854,669.50 and 31,497,756

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Solution

The third proportional to 14,854,669.50 and 31,497,756 is: 66,787,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854,669.50 : 31,497,756 = 31,497,756 : x
  2. Step 2: Convert to fraction form
    14,854,669.50/31,497,756 = 31,497,756/x
  3. Step 3: Cross multiply
    14,854,669.50x = 31,497,756 × 31,497,756
  4. Step 4: Simplify right side
    14,854,669.50x = 992,108,633,035,536
  5. Step 5: Solve for x
    x = 992,108,633,035,536/14,854,669.50
  6. Step 6: Final answer
    x = 66,787,661.15

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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.