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Finding the Third Proportional to 10,102,327,698,978 and 20,740,209,218,964

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Solution

The third proportional to 10,102,327,698,978 and 20,740,209,218,964 is: 42,579,917,348,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,327,698,978 : 20,740,209,218,964 = 20,740,209,218,964 : x
  2. Step 2: Convert to fraction form
    10,102,327,698,978/20,740,209,218,964 = 20,740,209,218,964/x
  3. Step 3: Cross multiply
    10,102,327,698,978x = 20,740,209,218,964 × 20,740,209,218,964
  4. Step 4: Simplify right side
    10,102,327,698,978x = 430,156,278,446,399,316,264,222,720
  5. Step 5: Solve for x
    x = 430,156,278,446,399,316,264,222,720/10,102,327,698,978
  6. Step 6: Final answer
    x = 42,579,917,348,148.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.