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Finding the Third Proportional to 36,031,140,002 and 77,484,842,644

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Solution

The third proportional to 36,031,140,002 and 77,484,842,644 is: 166,630,887,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,031,140,002 : 77,484,842,644 = 77,484,842,644 : x
  2. Step 2: Convert to fraction form
    36,031,140,002/77,484,842,644 = 77,484,842,644/x
  3. Step 3: Cross multiply
    36,031,140,002x = 77,484,842,644 × 77,484,842,644
  4. Step 4: Simplify right side
    36,031,140,002x = 6,003,900,839,565,440,581,632
  5. Step 5: Solve for x
    x = 6,003,900,839,565,440,581,632/36,031,140,002
  6. Step 6: Final answer
    x = 166,630,887,594.24

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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.