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Finding the Third Proportional to 4,366,280,108 and 9,497,578,648

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Solution

The third proportional to 4,366,280,108 and 9,497,578,648 is: 20,659,233,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366,280,108 : 9,497,578,648 = 9,497,578,648 : x
  2. Step 2: Convert to fraction form
    4,366,280,108/9,497,578,648 = 9,497,578,648/x
  3. Step 3: Cross multiply
    4,366,280,108x = 9,497,578,648 × 9,497,578,648
  4. Step 4: Simplify right side
    4,366,280,108x = 90,204,000,174,945,501,184
  5. Step 5: Solve for x
    x = 90,204,000,174,945,501,184/4,366,280,108
  6. Step 6: Final answer
    x = 20,659,233,476.49

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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.