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Finding the Third Proportional to 519,474,132.75 and 805,041,874.50

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Solution

The third proportional to 519,474,132.75 and 805,041,874.50 is: 1,247,593,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,474,132.75 : 805,041,874.50 = 805,041,874.50 : x
  2. Step 2: Convert to fraction form
    519,474,132.75/805,041,874.50 = 805,041,874.50/x
  3. Step 3: Cross multiply
    519,474,132.75x = 805,041,874.50 × 805,041,874.50
  4. Step 4: Simplify right side
    519,474,132.75x = 648,092,419,698,473,728
  5. Step 5: Solve for x
    x = 648,092,419,698,473,728/519,474,132.75
  6. Step 6: Final answer
    x = 1,247,593,246.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.