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Finding the Third Proportional to 760,430,448 and 1,629,998,016

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Solution

The third proportional to 760,430,448 and 1,629,998,016 is: 3,493,933,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,430,448 : 1,629,998,016 = 1,629,998,016 : x
  2. Step 2: Convert to fraction form
    760,430,448/1,629,998,016 = 1,629,998,016/x
  3. Step 3: Cross multiply
    760,430,448x = 1,629,998,016 × 1,629,998,016
  4. Step 4: Simplify right side
    760,430,448x = 2,656,893,532,163,936,256
  5. Step 5: Solve for x
    x = 2,656,893,532,163,936,256/760,430,448
  6. Step 6: Final answer
    x = 3,493,933,651.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.