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Finding the Third Proportional to 665,584,272 and 1,484,118,720

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Solution

The third proportional to 665,584,272 and 1,484,118,720 is: 3,309,285,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,584,272 : 1,484,118,720 = 1,484,118,720 : x
  2. Step 2: Convert to fraction form
    665,584,272/1,484,118,720 = 1,484,118,720/x
  3. Step 3: Cross multiply
    665,584,272x = 1,484,118,720 × 1,484,118,720
  4. Step 4: Simplify right side
    665,584,272x = 2,202,608,375,054,438,400
  5. Step 5: Solve for x
    x = 2,202,608,375,054,438,400/665,584,272
  6. Step 6: Final answer
    x = 3,309,285,492.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.