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Finding the Third Proportional to 45,634,027,788 and 97,548,227,253

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Solution

The third proportional to 45,634,027,788 and 97,548,227,253 is: 208,521,077,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634,027,788 : 97,548,227,253 = 97,548,227,253 : x
  2. Step 2: Convert to fraction form
    45,634,027,788/97,548,227,253 = 97,548,227,253/x
  3. Step 3: Cross multiply
    45,634,027,788x = 97,548,227,253 × 97,548,227,253
  4. Step 4: Simplify right side
    45,634,027,788x = 9,515,656,640,202,931,175,424
  5. Step 5: Solve for x
    x = 9,515,656,640,202,931,175,424/45,634,027,788
  6. Step 6: Final answer
    x = 208,521,077,394.47

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