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Finding the Third Proportional to 17,959,693,687,060 and 36,871,483,055,912

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Solution

The third proportional to 17,959,693,687,060 and 36,871,483,055,912 is: 75,697,630,841,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959,693,687,060 : 36,871,483,055,912 = 36,871,483,055,912 : x
  2. Step 2: Convert to fraction form
    17,959,693,687,060/36,871,483,055,912 = 36,871,483,055,912/x
  3. Step 3: Cross multiply
    17,959,693,687,060x = 36,871,483,055,912 × 36,871,483,055,912
  4. Step 4: Simplify right side
    17,959,693,687,060x = 1,359,506,262,742,405,708,534,251,520
  5. Step 5: Solve for x
    x = 1,359,506,262,742,405,708,534,251,520/17,959,693,687,060
  6. Step 6: Final answer
    x = 75,697,630,841,105.77

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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.