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Finding the Third Proportional to 538,390,123.50 and 1,168,666,029

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Solution

The third proportional to 538,390,123.50 and 1,168,666,029 is: 2,536,785,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390,123.50 : 1,168,666,029 = 1,168,666,029 : x
  2. Step 2: Convert to fraction form
    538,390,123.50/1,168,666,029 = 1,168,666,029/x
  3. Step 3: Cross multiply
    538,390,123.50x = 1,168,666,029 × 1,168,666,029
  4. Step 4: Simplify right side
    538,390,123.50x = 1,365,780,287,338,628,864
  5. Step 5: Solve for x
    x = 1,365,780,287,338,628,864/538,390,123.50
  6. Step 6: Final answer
    x = 2,536,785,553.31

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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.