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Finding the Third Proportional to 214,141,648,386 and 320,363,440,677

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Solution

The third proportional to 214,141,648,386 and 320,363,440,677 is: 479,274,979,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141,648,386 : 320,363,440,677 = 320,363,440,677 : x
  2. Step 2: Convert to fraction form
    214,141,648,386/320,363,440,677 = 320,363,440,677/x
  3. Step 3: Cross multiply
    214,141,648,386x = 320,363,440,677 × 320,363,440,677
  4. Step 4: Simplify right side
    214,141,648,386x = 102,632,734,122,405,699,518,464
  5. Step 5: Solve for x
    x = 102,632,734,122,405,699,518,464/214,141,648,386
  6. Step 6: Final answer
    x = 479,274,979,416.45

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Why These Related Problems?

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