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Finding the Third Proportional to 776,833,883 and 1,664,473,214

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Solution

The third proportional to 776,833,883 and 1,664,473,214 is: 3,566,362,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,833,883 : 1,664,473,214 = 1,664,473,214 : x
  2. Step 2: Convert to fraction form
    776,833,883/1,664,473,214 = 1,664,473,214/x
  3. Step 3: Cross multiply
    776,833,883x = 1,664,473,214 × 1,664,473,214
  4. Step 4: Simplify right side
    776,833,883x = 2,770,471,080,123,489,792
  5. Step 5: Solve for x
    x = 2,770,471,080,123,489,792/776,833,883
  6. Step 6: Final answer
    x = 3,566,362,308.28

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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.