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Finding the Third Proportional to 3,835,289,934,771 and 8,345,745,567,196

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Solution

The third proportional to 3,835,289,934,771 and 8,345,745,567,196 is: 18,160,678,920,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,289,934,771 : 8,345,745,567,196 = 8,345,745,567,196 : x
  2. Step 2: Convert to fraction form
    3,835,289,934,771/8,345,745,567,196 = 8,345,745,567,196/x
  3. Step 3: Cross multiply
    3,835,289,934,771x = 8,345,745,567,196 × 8,345,745,567,196
  4. Step 4: Simplify right side
    3,835,289,934,771x = 69,651,469,072,371,679,894,700,032
  5. Step 5: Solve for x
    x = 69,651,469,072,371,679,894,700,032/3,835,289,934,771
  6. Step 6: Final answer
    x = 18,160,678,920,492.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.