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Finding the Third Proportional to 787,772,715 and 1,823,551,230.50

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Solution

The third proportional to 787,772,715 and 1,823,551,230.50 is: 4,221,190,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,772,715 : 1,823,551,230.50 = 1,823,551,230.50 : x
  2. Step 2: Convert to fraction form
    787,772,715/1,823,551,230.50 = 1,823,551,230.50/x
  3. Step 3: Cross multiply
    787,772,715x = 1,823,551,230.50 × 1,823,551,230.50
  4. Step 4: Simplify right side
    787,772,715x = 3,325,339,090,258,064,384
  5. Step 5: Solve for x
    x = 3,325,339,090,258,064,384/787,772,715
  6. Step 6: Final answer
    x = 4,221,190,994.48

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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.