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Finding the Third Proportional to 9,950,478,768 and 21,775,418,208

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Solution

The third proportional to 9,950,478,768 and 21,775,418,208 is: 47,652,866,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950,478,768 : 21,775,418,208 = 21,775,418,208 : x
  2. Step 2: Convert to fraction form
    9,950,478,768/21,775,418,208 = 21,775,418,208/x
  3. Step 3: Cross multiply
    9,950,478,768x = 21,775,418,208 × 21,775,418,208
  4. Step 4: Simplify right side
    9,950,478,768x = 474,168,838,133,297,905,664
  5. Step 5: Solve for x
    x = 474,168,838,133,297,905,664/9,950,478,768
  6. Step 6: Final answer
    x = 47,652,866,679.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.