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Finding the Third Proportional to 214,141,648,382 and 320,363,440,671

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Solution

The third proportional to 214,141,648,382 and 320,363,440,671 is: 479,274,979,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141,648,382 : 320,363,440,671 = 320,363,440,671 : x
  2. Step 2: Convert to fraction form
    214,141,648,382/320,363,440,671 = 320,363,440,671/x
  3. Step 3: Cross multiply
    214,141,648,382x = 320,363,440,671 × 320,363,440,671
  4. Step 4: Simplify right side
    214,141,648,382x = 102,632,734,118,561,334,689,792
  5. Step 5: Solve for x
    x = 102,632,734,118,561,334,689,792/214,141,648,382
  6. Step 6: Final answer
    x = 479,274,979,407.45

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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.