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Finding the Third Proportional to 78,637,329,576 and 173,303,451,234

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Solution

The third proportional to 78,637,329,576 and 173,303,451,234 is: 381,931,664,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,637,329,576 : 173,303,451,234 = 173,303,451,234 : x
  2. Step 2: Convert to fraction form
    78,637,329,576/173,303,451,234 = 173,303,451,234/x
  3. Step 3: Cross multiply
    78,637,329,576x = 173,303,451,234 × 173,303,451,234
  4. Step 4: Simplify right side
    78,637,329,576x = 30,034,086,209,615,418,097,664
  5. Step 5: Solve for x
    x = 30,034,086,209,615,418,097,664/78,637,329,576
  6. Step 6: Final answer
    x = 381,931,664,917.34

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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.