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Finding the Third Proportional to 69,406,413 and 150,760,644

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Solution

The third proportional to 69,406,413 and 150,760,644 is: 327,473,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,406,413 : 150,760,644 = 150,760,644 : x
  2. Step 2: Convert to fraction form
    69,406,413/150,760,644 = 150,760,644/x
  3. Step 3: Cross multiply
    69,406,413x = 150,760,644 × 150,760,644
  4. Step 4: Simplify right side
    69,406,413x = 22,728,771,779,294,736
  5. Step 5: Solve for x
    x = 22,728,771,779,294,736/69,406,413
  6. Step 6: Final answer
    x = 327,473,655.49

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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.