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Finding the Third Proportional to 17,935,618,770 and 38,532,941,102

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Solution

The third proportional to 17,935,618,770 and 38,532,941,102 is: 82,784,294,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935,618,770 : 38,532,941,102 = 38,532,941,102 : x
  2. Step 2: Convert to fraction form
    17,935,618,770/38,532,941,102 = 38,532,941,102/x
  3. Step 3: Cross multiply
    17,935,618,770x = 38,532,941,102 × 38,532,941,102
  4. Step 4: Simplify right side
    17,935,618,770x = 1,484,787,549,970,201,051,136
  5. Step 5: Solve for x
    x = 1,484,787,549,970,201,051,136/17,935,618,770
  6. Step 6: Final answer
    x = 82,784,294,704.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.