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Finding the Third Proportional to 965,936,610 and 2,084,823,684

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Solution

The third proportional to 965,936,610 and 2,084,823,684 is: 4,499,767,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,936,610 : 2,084,823,684 = 2,084,823,684 : x
  2. Step 2: Convert to fraction form
    965,936,610/2,084,823,684 = 2,084,823,684/x
  3. Step 3: Cross multiply
    965,936,610x = 2,084,823,684 × 2,084,823,684
  4. Step 4: Simplify right side
    965,936,610x = 4,346,489,793,367,331,840
  5. Step 5: Solve for x
    x = 4,346,489,793,367,331,840/965,936,610
  6. Step 6: Final answer
    x = 4,499,767,115.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.