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Finding the Third Proportional to 45,634,027,669 and 97,548,227,041

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Solution

The third proportional to 45,634,027,669 and 97,548,227,041 is: 208,521,077,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634,027,669 : 97,548,227,041 = 97,548,227,041 : x
  2. Step 2: Convert to fraction form
    45,634,027,669/97,548,227,041 = 97,548,227,041/x
  3. Step 3: Cross multiply
    45,634,027,669x = 97,548,227,041 × 97,548,227,041
  4. Step 4: Simplify right side
    45,634,027,669x = 9,515,656,598,842,484,195,328
  5. Step 5: Solve for x
    x = 9,515,656,598,842,484,195,328/45,634,027,669
  6. Step 6: Final answer
    x = 208,521,077,031.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.