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Finding the Third Proportional to 2,803,300,224 and 6,489,458,880

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Solution

The third proportional to 2,803,300,224 and 6,489,458,880 is: 15,022,677,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,300,224 : 6,489,458,880 = 6,489,458,880 : x
  2. Step 2: Convert to fraction form
    2,803,300,224/6,489,458,880 = 6,489,458,880/x
  3. Step 3: Cross multiply
    2,803,300,224x = 6,489,458,880 × 6,489,458,880
  4. Step 4: Simplify right side
    2,803,300,224x = 42,113,076,555,210,850,304
  5. Step 5: Solve for x
    x = 42,113,076,555,210,850,304/2,803,300,224
  6. Step 6: Final answer
    x = 15,022,677,983.14

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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.