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Finding the Third Proportional to 4,492,450,466 and 9,608,068,978

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Solution

The third proportional to 4,492,450,466 and 9,608,068,978 is: 20,548,916,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,450,466 : 9,608,068,978 = 9,608,068,978 : x
  2. Step 2: Convert to fraction form
    4,492,450,466/9,608,068,978 = 9,608,068,978/x
  3. Step 3: Cross multiply
    4,492,450,466x = 9,608,068,978 × 9,608,068,978
  4. Step 4: Simplify right side
    4,492,450,466x = 92,314,989,486,005,960,704
  5. Step 5: Solve for x
    x = 92,314,989,486,005,960,704/4,492,450,466
  6. Step 6: Final answer
    x = 20,548,916,495.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.