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Finding the Third Proportional to 787,772,714 and 1,823,551,228

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Solution

The third proportional to 787,772,714 and 1,823,551,228 is: 4,221,190,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,772,714 : 1,823,551,228 = 1,823,551,228 : x
  2. Step 2: Convert to fraction form
    787,772,714/1,823,551,228 = 1,823,551,228/x
  3. Step 3: Cross multiply
    787,772,714x = 1,823,551,228 × 1,823,551,228
  4. Step 4: Simplify right side
    787,772,714x = 3,325,339,081,140,307,968
  5. Step 5: Solve for x
    x = 3,325,339,081,140,307,968/787,772,714
  6. Step 6: Final answer
    x = 4,221,190,988.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.