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Finding the Third Proportional to 7,667,875.50 and 16,413,122.25

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Solution

The third proportional to 7,667,875.50 and 16,413,122.25 is: 35,132,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667,875.50 : 16,413,122.25 = 16,413,122.25 : x
  2. Step 2: Convert to fraction form
    7,667,875.50/16,413,122.25 = 16,413,122.25/x
  3. Step 3: Cross multiply
    7,667,875.50x = 16,413,122.25 × 16,413,122.25
  4. Step 4: Simplify right side
    7,667,875.50x = 269,390,581,993,445.06
  5. Step 5: Solve for x
    x = 269,390,581,993,445.06/7,667,875.50
  6. Step 6: Final answer
    x = 35,132,362.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.