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Finding the Third Proportional to 393,581,843.44 and 911,166,868.69

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Solution

The third proportional to 393,581,843.44 and 911,166,868.69 is: 2,109,408,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,581,843.44 : 911,166,868.69 = 911,166,868.69 : x
  2. Step 2: Convert to fraction form
    393,581,843.44/911,166,868.69 = 911,166,868.69/x
  3. Step 3: Cross multiply
    393,581,843.44x = 911,166,868.69 × 911,166,868.69
  4. Step 4: Simplify right side
    393,581,843.44x = 830,225,062,593,783,808
  5. Step 5: Solve for x
    x = 830,225,062,593,783,808/393,581,843.44
  6. Step 6: Final answer
    x = 2,109,408,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.