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Finding the Third Proportional to 1,316,524,960 and 2,831,182,400

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Solution

The third proportional to 1,316,524,960 and 2,831,182,400 is: 6,088,448,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,524,960 : 2,831,182,400 = 2,831,182,400 : x
  2. Step 2: Convert to fraction form
    1,316,524,960/2,831,182,400 = 2,831,182,400/x
  3. Step 3: Cross multiply
    1,316,524,960x = 2,831,182,400 × 2,831,182,400
  4. Step 4: Simplify right side
    1,316,524,960x = 8,015,593,782,069,760,000
  5. Step 5: Solve for x
    x = 8,015,593,782,069,760,000/1,316,524,960
  6. Step 6: Final answer
    x = 6,088,448,017.02

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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.