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Finding the Third Proportional to 34,715,586,213 and 75,349,299,401

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Solution

The third proportional to 34,715,586,213 and 75,349,299,401 is: 163,543,743,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715,586,213 : 75,349,299,401 = 75,349,299,401 : x
  2. Step 2: Convert to fraction form
    34,715,586,213/75,349,299,401 = 75,349,299,401/x
  3. Step 3: Cross multiply
    34,715,586,213x = 75,349,299,401 × 75,349,299,401
  4. Step 4: Simplify right side
    34,715,586,213x = 5,677,516,920,221,538,975,744
  5. Step 5: Solve for x
    x = 5,677,516,920,221,538,975,744/34,715,586,213
  6. Step 6: Final answer
    x = 163,543,743,302.70

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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.