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Finding the Third Proportional to 31,197,928.50 and 48,685,557.50

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Solution

The third proportional to 31,197,928.50 and 48,685,557.50 is: 75,975,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,197,928.50 : 48,685,557.50 = 48,685,557.50 : x
  2. Step 2: Convert to fraction form
    31,197,928.50/48,685,557.50 = 48,685,557.50/x
  3. Step 3: Cross multiply
    31,197,928.50x = 48,685,557.50 × 48,685,557.50
  4. Step 4: Simplify right side
    31,197,928.50x = 2,370,283,509,085,806
  5. Step 5: Solve for x
    x = 2,370,283,509,085,806/31,197,928.50
  6. Step 6: Final answer
    x = 75,975,669.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.