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Finding the Third Proportional to 538,808,334 and 1,163,836,953

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Solution

The third proportional to 538,808,334 and 1,163,836,953 is: 2,513,911,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,334 : 1,163,836,953 = 1,163,836,953 : x
  2. Step 2: Convert to fraction form
    538,808,334/1,163,836,953 = 1,163,836,953/x
  3. Step 3: Cross multiply
    538,808,334x = 1,163,836,953 × 1,163,836,953
  4. Step 4: Simplify right side
    538,808,334x = 1,354,516,453,168,324,096
  5. Step 5: Solve for x
    x = 1,354,516,453,168,324,096/538,808,334
  6. Step 6: Final answer
    x = 2,513,911,474.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.