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Finding the Third Proportional to 344,947,044,479.91 and 754,811,234,647.86

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Solution

The third proportional to 344,947,044,479.91 and 754,811,234,647.86 is: 1,651,673,812,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,947,044,479.91 : 754,811,234,647.86 = 754,811,234,647.86 : x
  2. Step 2: Convert to fraction form
    344,947,044,479.91/754,811,234,647.86 = 754,811,234,647.86/x
  3. Step 3: Cross multiply
    344,947,044,479.91x = 754,811,234,647.86 × 754,811,234,647.86
  4. Step 4: Simplify right side
    344,947,044,479.91x = 569,739,999,950,626,755,706,880
  5. Step 5: Solve for x
    x = 569,739,999,950,626,755,706,880/344,947,044,479.91
  6. Step 6: Final answer
    x = 1,651,673,812,163.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.