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Finding the Third Proportional to 7,241,848.50 and 15,535,117.50

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Solution

The third proportional to 7,241,848.50 and 15,535,117.50 is: 33,325,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241,848.50 : 15,535,117.50 = 15,535,117.50 : x
  2. Step 2: Convert to fraction form
    7,241,848.50/15,535,117.50 = 15,535,117.50/x
  3. Step 3: Cross multiply
    7,241,848.50x = 15,535,117.50 × 15,535,117.50
  4. Step 4: Simplify right side
    7,241,848.50x = 241,339,875,738,806.25
  5. Step 5: Solve for x
    x = 241,339,875,738,806.25/7,241,848.50
  6. Step 6: Final answer
    x = 33,325,728.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.