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Finding the Third Proportional to 802,008,288 and 1,276,152,819.75

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Solution

The third proportional to 802,008,288 and 1,276,152,819.75 is: 2,030,609,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,008,288 : 1,276,152,819.75 = 1,276,152,819.75 : x
  2. Step 2: Convert to fraction form
    802,008,288/1,276,152,819.75 = 1,276,152,819.75/x
  3. Step 3: Cross multiply
    802,008,288x = 1,276,152,819.75 × 1,276,152,819.75
  4. Step 4: Simplify right side
    802,008,288x = 1,628,566,019,355,876,096
  5. Step 5: Solve for x
    x = 1,628,566,019,355,876,096/802,008,288
  6. Step 6: Final answer
    x = 2,030,609,962.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.