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Finding the Third Proportional to 2,183,406,056 and 3,122,296,380

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Solution

The third proportional to 2,183,406,056 and 3,122,296,380 is: 4,464,920,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,406,056 : 3,122,296,380 = 3,122,296,380 : x
  2. Step 2: Convert to fraction form
    2,183,406,056/3,122,296,380 = 3,122,296,380/x
  3. Step 3: Cross multiply
    2,183,406,056x = 3,122,296,380 × 3,122,296,380
  4. Step 4: Simplify right side
    2,183,406,056x = 9,748,734,684,561,104,896
  5. Step 5: Solve for x
    x = 9,748,734,684,561,104,896/2,183,406,056
  6. Step 6: Final answer
    x = 4,464,920,603.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.