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Finding the Third Proportional to 327,848,328 and 535,290,139.13

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Solution

The third proportional to 327,848,328 and 535,290,139.13 is: 873,988,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,848,328 : 535,290,139.13 = 535,290,139.13 : x
  2. Step 2: Convert to fraction form
    327,848,328/535,290,139.13 = 535,290,139.13/x
  3. Step 3: Cross multiply
    327,848,328x = 535,290,139.13 × 535,290,139.13
  4. Step 4: Simplify right side
    327,848,328x = 286,535,533,044,461,856
  5. Step 5: Solve for x
    x = 286,535,533,044,461,856/327,848,328
  6. Step 6: Final answer
    x = 873,988,087.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.