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Finding the Third Proportional to 787,772,709 and 1,823,551,218

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Solution

The third proportional to 787,772,709 and 1,823,551,218 is: 4,221,190,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,772,709 : 1,823,551,218 = 1,823,551,218 : x
  2. Step 2: Convert to fraction form
    787,772,709/1,823,551,218 = 1,823,551,218/x
  3. Step 3: Cross multiply
    787,772,709x = 1,823,551,218 × 1,823,551,218
  4. Step 4: Simplify right side
    787,772,709x = 3,325,339,044,669,283,328
  5. Step 5: Solve for x
    x = 3,325,339,044,669,283,328/787,772,709
  6. Step 6: Final answer
    x = 4,221,190,968.76

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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.