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Finding the Third Proportional to 36,031,140,006 and 77,484,842,652

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Solution

The third proportional to 36,031,140,006 and 77,484,842,652 is: 166,630,887,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031,140,006 : 77,484,842,652 = 77,484,842,652 : x
  2. Step 2: Convert to fraction form
    36,031,140,006/77,484,842,652 = 77,484,842,652/x
  3. Step 3: Cross multiply
    36,031,140,006x = 77,484,842,652 × 77,484,842,652
  4. Step 4: Simplify right side
    36,031,140,006x = 6,003,900,840,805,198,200,832
  5. Step 5: Solve for x
    x = 6,003,900,840,805,198,200,832/36,031,140,006
  6. Step 6: Final answer
    x = 166,630,887,610.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.