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Finding the Third Proportional to 9,496,237.50 and 19,328,078.25

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Solution

The third proportional to 9,496,237.50 and 19,328,078.25 is: 39,339,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496,237.50 : 19,328,078.25 = 19,328,078.25 : x
  2. Step 2: Convert to fraction form
    9,496,237.50/19,328,078.25 = 19,328,078.25/x
  3. Step 3: Cross multiply
    9,496,237.50x = 19,328,078.25 × 19,328,078.25
  4. Step 4: Simplify right side
    9,496,237.50x = 373,574,608,838,123.06
  5. Step 5: Solve for x
    x = 373,574,608,838,123.06/9,496,237.50
  6. Step 6: Final answer
    x = 39,339,223.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.