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Finding the Third Proportional to 5,203,966.50 and 11,182,951.13

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Solution

The third proportional to 5,203,966.50 and 11,182,951.13 is: 24,031,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203,966.50 : 11,182,951.13 = 11,182,951.13 : x
  2. Step 2: Convert to fraction form
    5,203,966.50/11,182,951.13 = 11,182,951.13/x
  3. Step 3: Cross multiply
    5,203,966.50x = 11,182,951.13 × 11,182,951.13
  4. Step 4: Simplify right side
    5,203,966.50x = 125,058,395,864,138.77
  5. Step 5: Solve for x
    x = 125,058,395,864,138.77/5,203,966.50
  6. Step 6: Final answer
    x = 24,031,360.67

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