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Finding the Third Proportional to 180,233,437,518 and 375,299,330,004

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Solution

The third proportional to 180,233,437,518 and 375,299,330,004 is: 781,484,218,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,233,437,518 : 375,299,330,004 = 375,299,330,004 : x
  2. Step 2: Convert to fraction form
    180,233,437,518/375,299,330,004 = 375,299,330,004/x
  3. Step 3: Cross multiply
    180,233,437,518x = 375,299,330,004 × 375,299,330,004
  4. Step 4: Simplify right side
    180,233,437,518x = 140,849,587,101,451,300,110,336
  5. Step 5: Solve for x
    x = 140,849,587,101,451,300,110,336/180,233,437,518
  6. Step 6: Final answer
    x = 781,484,218,694.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.