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Finding the Third Proportional to 519,474,129.75 and 805,041,870.75

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Solution

The third proportional to 519,474,129.75 and 805,041,870.75 is: 1,247,593,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,474,129.75 : 805,041,870.75 = 805,041,870.75 : x
  2. Step 2: Convert to fraction form
    519,474,129.75/805,041,870.75 = 805,041,870.75/x
  3. Step 3: Cross multiply
    519,474,129.75x = 805,041,870.75 × 805,041,870.75
  4. Step 4: Simplify right side
    519,474,129.75x = 648,092,413,660,659,712
  5. Step 5: Solve for x
    x = 648,092,413,660,659,712/519,474,129.75
  6. Step 6: Final answer
    x = 1,247,593,241.98

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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.