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Finding the Third Proportional to 37,231,381,701 and 52,242,998,841

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Solution

The third proportional to 37,231,381,701 and 52,242,998,841 is: 73,307,269,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231,381,701 : 52,242,998,841 = 52,242,998,841 : x
  2. Step 2: Convert to fraction form
    37,231,381,701/52,242,998,841 = 52,242,998,841/x
  3. Step 3: Cross multiply
    37,231,381,701x = 52,242,998,841 × 52,242,998,841
  4. Step 4: Simplify right side
    37,231,381,701x = 2,729,330,927,900,727,181,312
  5. Step 5: Solve for x
    x = 2,729,330,927,900,727,181,312/37,231,381,701
  6. Step 6: Final answer
    x = 73,307,269,384.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.