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Finding the Third Proportional to 802,008,708.75 and 1,276,153,552.13

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Solution

The third proportional to 802,008,708.75 and 1,276,153,552.13 is: 2,030,611,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,008,708.75 : 1,276,153,552.13 = 1,276,153,552.13 : x
  2. Step 2: Convert to fraction form
    802,008,708.75/1,276,153,552.13 = 1,276,153,552.13/x
  3. Step 3: Cross multiply
    802,008,708.75x = 1,276,153,552.13 × 1,276,153,552.13
  4. Step 4: Simplify right side
    802,008,708.75x = 1,628,567,888,601,255,168
  5. Step 5: Solve for x
    x = 1,628,567,888,601,255,168/802,008,708.75
  6. Step 6: Final answer
    x = 2,030,611,227.58

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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.