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Finding the Third Proportional to 14,646,340.50 and 31,896,441.75

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Solution

The third proportional to 14,646,340.50 and 31,896,441.75 is: 69,463,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646,340.50 : 31,896,441.75 = 31,896,441.75 : x
  2. Step 2: Convert to fraction form
    14,646,340.50/31,896,441.75 = 31,896,441.75/x
  3. Step 3: Cross multiply
    14,646,340.50x = 31,896,441.75 × 31,896,441.75
  4. Step 4: Simplify right side
    14,646,340.50x = 1,017,382,996,311,143
  5. Step 5: Solve for x
    x = 1,017,382,996,311,143/14,646,340.50
  6. Step 6: Final answer
    x = 69,463,289.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.