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Finding the Third Proportional to 2,774,587,872 and 4,008,800,310

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Solution

The third proportional to 2,774,587,872 and 4,008,800,310 is: 5,792,024,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,587,872 : 4,008,800,310 = 4,008,800,310 : x
  2. Step 2: Convert to fraction form
    2,774,587,872/4,008,800,310 = 4,008,800,310/x
  3. Step 3: Cross multiply
    2,774,587,872x = 4,008,800,310 × 4,008,800,310
  4. Step 4: Simplify right side
    2,774,587,872x = 16,070,479,925,456,095,232
  5. Step 5: Solve for x
    x = 16,070,479,925,456,095,232/2,774,587,872
  6. Step 6: Final answer
    x = 5,792,024,137.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.