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Finding the Third Proportional to 34,715,586,339 and 75,349,299,654

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Solution

The third proportional to 34,715,586,339 and 75,349,299,654 is: 163,543,743,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715,586,339 : 75,349,299,654 = 75,349,299,654 : x
  2. Step 2: Convert to fraction form
    34,715,586,339/75,349,299,654 = 75,349,299,654/x
  3. Step 3: Cross multiply
    34,715,586,339x = 75,349,299,654 × 75,349,299,654
  4. Step 4: Simplify right side
    34,715,586,339x = 5,677,516,958,348,284,526,592
  5. Step 5: Solve for x
    x = 5,677,516,958,348,284,526,592/34,715,586,339
  6. Step 6: Final answer
    x = 163,543,743,807.38

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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.