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Finding the Third Proportional to 807,581,183 and 1,756,879,963

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Solution

The third proportional to 807,581,183 and 1,756,879,963 is: 3,822,064,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,581,183 : 1,756,879,963 = 1,756,879,963 : x
  2. Step 2: Convert to fraction form
    807,581,183/1,756,879,963 = 1,756,879,963/x
  3. Step 3: Cross multiply
    807,581,183x = 1,756,879,963 × 1,756,879,963
  4. Step 4: Simplify right side
    807,581,183x = 3,086,627,204,390,881,280
  5. Step 5: Solve for x
    x = 3,086,627,204,390,881,280/807,581,183
  6. Step 6: Final answer
    x = 3,822,064,294.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.