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Finding the Third Proportional to 24,765,127,912 and 37,867,952,190

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Solution

The third proportional to 24,765,127,912 and 37,867,952,190 is: 57,903,266,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765,127,912 : 37,867,952,190 = 37,867,952,190 : x
  2. Step 2: Convert to fraction form
    24,765,127,912/37,867,952,190 = 37,867,952,190/x
  3. Step 3: Cross multiply
    24,765,127,912x = 37,867,952,190 × 37,867,952,190
  4. Step 4: Simplify right side
    24,765,127,912x = 1,433,981,803,064,125,816,832
  5. Step 5: Solve for x
    x = 1,433,981,803,064,125,816,832/24,765,127,912
  6. Step 6: Final answer
    x = 57,903,266,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.