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Finding the Third Proportional to 10,102,327,698,980 and 20,740,209,218,968

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Solution

The third proportional to 10,102,327,698,980 and 20,740,209,218,968 is: 42,579,917,348,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102,327,698,980 : 20,740,209,218,968 = 20,740,209,218,968 : x
  2. Step 2: Convert to fraction form
    10,102,327,698,980/20,740,209,218,968 = 20,740,209,218,968/x
  3. Step 3: Cross multiply
    10,102,327,698,980x = 20,740,209,218,968 × 20,740,209,218,968
  4. Step 4: Simplify right side
    10,102,327,698,980x = 430,156,278,446,565,205,081,063,424
  5. Step 5: Solve for x
    x = 430,156,278,446,565,205,081,063,424/10,102,327,698,980
  6. Step 6: Final answer
    x = 42,579,917,348,156.97

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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.