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Finding the Third Proportional to 214,141,648,384 and 320,363,440,674

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Solution

The third proportional to 214,141,648,384 and 320,363,440,674 is: 479,274,979,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141,648,384 : 320,363,440,674 = 320,363,440,674 : x
  2. Step 2: Convert to fraction form
    214,141,648,384/320,363,440,674 = 320,363,440,674/x
  3. Step 3: Cross multiply
    214,141,648,384x = 320,363,440,674 × 320,363,440,674
  4. Step 4: Simplify right side
    214,141,648,384x = 102,632,734,120,483,517,104,128
  5. Step 5: Solve for x
    x = 102,632,734,120,483,517,104,128/214,141,648,384
  6. Step 6: Final answer
    x = 479,274,979,411.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.