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Finding the Third Proportional to 14,661,973.50 and 31,594,584

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Solution

The third proportional to 14,661,973.50 and 31,594,584 is: 68,082,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661,973.50 : 31,594,584 = 31,594,584 : x
  2. Step 2: Convert to fraction form
    14,661,973.50/31,594,584 = 31,594,584/x
  3. Step 3: Cross multiply
    14,661,973.50x = 31,594,584 × 31,594,584
  4. Step 4: Simplify right side
    14,661,973.50x = 998,217,738,133,056
  5. Step 5: Solve for x
    x = 998,217,738,133,056/14,661,973.50
  6. Step 6: Final answer
    x = 68,082,085.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.