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Finding the Third Proportional to 538,389,776 and 1,168,665,330

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Solution

The third proportional to 538,389,776 and 1,168,665,330 is: 2,536,784,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,389,776 : 1,168,665,330 = 1,168,665,330 : x
  2. Step 2: Convert to fraction form
    538,389,776/1,168,665,330 = 1,168,665,330/x
  3. Step 3: Cross multiply
    538,389,776x = 1,168,665,330 × 1,168,665,330
  4. Step 4: Simplify right side
    538,389,776x = 1,365,778,653,544,008,960
  5. Step 5: Solve for x
    x = 1,365,778,653,544,008,960/538,389,776
  6. Step 6: Final answer
    x = 2,536,784,156.06

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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.