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Finding the Third Proportional to 9,277,841.25 and 19,192,099.50

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Solution

The third proportional to 9,277,841.25 and 19,192,099.50 is: 39,700,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,841.25 : 19,192,099.50 = 19,192,099.50 : x
  2. Step 2: Convert to fraction form
    9,277,841.25/19,192,099.50 = 19,192,099.50/x
  3. Step 3: Cross multiply
    9,277,841.25x = 19,192,099.50 × 19,192,099.50
  4. Step 4: Simplify right side
    9,277,841.25x = 368,336,683,217,900.25
  5. Step 5: Solve for x
    x = 368,336,683,217,900.25/9,277,841.25
  6. Step 6: Final answer
    x = 39,700,688.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.