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Finding the Third Proportional to 7,592,279,468,342 and 16,635,044,197,108

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Solution

The third proportional to 7,592,279,468,342 and 16,635,044,197,108 is: 36,448,170,354,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592,279,468,342 : 16,635,044,197,108 = 16,635,044,197,108 : x
  2. Step 2: Convert to fraction form
    7,592,279,468,342/16,635,044,197,108 = 16,635,044,197,108/x
  3. Step 3: Cross multiply
    7,592,279,468,342x = 16,635,044,197,108 × 16,635,044,197,108
  4. Step 4: Simplify right side
    7,592,279,468,342x = 276,724,695,439,736,555,998,019,584
  5. Step 5: Solve for x
    x = 276,724,695,439,736,555,998,019,584/7,592,279,468,342
  6. Step 6: Final answer
    x = 36,448,170,354,320.16

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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.