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Finding the Third Proportional to 37,400,563,602 and 82,281,148,884

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Solution

The third proportional to 37,400,563,602 and 82,281,148,884 is: 181,018,327,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400,563,602 : 82,281,148,884 = 82,281,148,884 : x
  2. Step 2: Convert to fraction form
    37,400,563,602/82,281,148,884 = 82,281,148,884/x
  3. Step 3: Cross multiply
    37,400,563,602x = 82,281,148,884 × 82,281,148,884
  4. Step 4: Simplify right side
    37,400,563,602x = 6,770,187,461,670,973,997,056
  5. Step 5: Solve for x
    x = 6,770,187,461,670,973,997,056/37,400,563,602
  6. Step 6: Final answer
    x = 181,018,327,256.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.