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Finding the Third Proportional to 538,390,100.25 and 1,168,665,981.75

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Solution

The third proportional to 538,390,100.25 and 1,168,665,981.75 is: 2,536,785,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390,100.25 : 1,168,665,981.75 = 1,168,665,981.75 : x
  2. Step 2: Convert to fraction form
    538,390,100.25/1,168,665,981.75 = 1,168,665,981.75/x
  3. Step 3: Cross multiply
    538,390,100.25x = 1,168,665,981.75 × 1,168,665,981.75
  4. Step 4: Simplify right side
    538,390,100.25x = 1,365,780,176,899,691,264
  5. Step 5: Solve for x
    x = 1,365,780,176,899,691,264/538,390,100.25
  6. Step 6: Final answer
    x = 2,536,785,457.73

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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.