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Finding the Third Proportional to 5,346,193.50 and 7,724,330.25

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Solution

The third proportional to 5,346,193.50 and 7,724,330.25 is: 11,160,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,193.50 : 7,724,330.25 = 7,724,330.25 : x
  2. Step 2: Convert to fraction form
    5,346,193.50/7,724,330.25 = 7,724,330.25/x
  3. Step 3: Cross multiply
    5,346,193.50x = 7,724,330.25 × 7,724,330.25
  4. Step 4: Simplify right side
    5,346,193.50x = 59,665,277,811,065.06
  5. Step 5: Solve for x
    x = 59,665,277,811,065.06/5,346,193.50
  6. Step 6: Final answer
    x = 11,160,328.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.