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Finding the Third Proportional to 8,183,000,308.50 and 17,643,280,531.50

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Solution

The third proportional to 8,183,000,308.50 and 17,643,280,531.50 is: 38,040,490,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183,000,308.50 : 17,643,280,531.50 = 17,643,280,531.50 : x
  2. Step 2: Convert to fraction form
    8,183,000,308.50/17,643,280,531.50 = 17,643,280,531.50/x
  3. Step 3: Cross multiply
    8,183,000,308.50x = 17,643,280,531.50 × 17,643,280,531.50
  4. Step 4: Simplify right side
    8,183,000,308.50x = 311,285,347,913,206,923,264
  5. Step 5: Solve for x
    x = 311,285,347,913,206,923,264/8,183,000,308.50
  6. Step 6: Final answer
    x = 38,040,490,795.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.