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Finding the Third Proportional to 1,163,949,792 and 2,521,632,384

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Solution

The third proportional to 1,163,949,792 and 2,521,632,384 is: 5,462,976,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,949,792 : 2,521,632,384 = 2,521,632,384 : x
  2. Step 2: Convert to fraction form
    1,163,949,792/2,521,632,384 = 2,521,632,384/x
  3. Step 3: Cross multiply
    1,163,949,792x = 2,521,632,384 × 2,521,632,384
  4. Step 4: Simplify right side
    1,163,949,792x = 6,358,629,880,037,523,456
  5. Step 5: Solve for x
    x = 6,358,629,880,037,523,456/1,163,949,792
  6. Step 6: Final answer
    x = 5,462,976,086.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.