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Finding the Third Proportional to 1,006,766,573 and 2,373,228,729

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Solution

The third proportional to 1,006,766,573 and 2,373,228,729 is: 5,594,359,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,766,573 : 2,373,228,729 = 2,373,228,729 : x
  2. Step 2: Convert to fraction form
    1,006,766,573/2,373,228,729 = 2,373,228,729/x
  3. Step 3: Cross multiply
    1,006,766,573x = 2,373,228,729 × 2,373,228,729
  4. Step 4: Simplify right side
    1,006,766,573x = 5,632,214,600,150,955,008
  5. Step 5: Solve for x
    x = 5,632,214,600,150,955,008/1,006,766,573
  6. Step 6: Final answer
    x = 5,594,359,955.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.