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Finding the Third Proportional to 4,200,256.50 and 9,160,737.75

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Solution

The third proportional to 4,200,256.50 and 9,160,737.75 is: 19,979,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,256.50 : 9,160,737.75 = 9,160,737.75 : x
  2. Step 2: Convert to fraction form
    4,200,256.50/9,160,737.75 = 9,160,737.75/x
  3. Step 3: Cross multiply
    4,200,256.50x = 9,160,737.75 × 9,160,737.75
  4. Step 4: Simplify right side
    4,200,256.50x = 83,919,116,124,275.06
  5. Step 5: Solve for x
    x = 83,919,116,124,275.06/4,200,256.50
  6. Step 6: Final answer
    x = 19,979,521.76

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