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Finding the Third Proportional to 2,153,746,880 and 4,684,850,728

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Solution

The third proportional to 2,153,746,880 and 4,684,850,728 is: 10,190,531,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,746,880 : 4,684,850,728 = 4,684,850,728 : x
  2. Step 2: Convert to fraction form
    2,153,746,880/4,684,850,728 = 4,684,850,728/x
  3. Step 3: Cross multiply
    2,153,746,880x = 4,684,850,728 × 4,684,850,728
  4. Step 4: Simplify right side
    2,153,746,880x = 21,947,826,343,642,128,384
  5. Step 5: Solve for x
    x = 21,947,826,343,642,128,384/2,153,746,880
  6. Step 6: Final answer
    x = 10,190,531,927.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.