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Finding the Third Proportional to 7,592,279,468,364 and 16,635,044,197,152

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Solution

The third proportional to 7,592,279,468,364 and 16,635,044,197,152 is: 36,448,170,354,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592,279,468,364 : 16,635,044,197,152 = 16,635,044,197,152 : x
  2. Step 2: Convert to fraction form
    7,592,279,468,364/16,635,044,197,152 = 16,635,044,197,152/x
  3. Step 3: Cross multiply
    7,592,279,468,364x = 16,635,044,197,152 × 16,635,044,197,152
  4. Step 4: Simplify right side
    7,592,279,468,364x = 276,724,695,441,200,418,291,449,856
  5. Step 5: Solve for x
    x = 276,724,695,441,200,418,291,449,856/7,592,279,468,364
  6. Step 6: Final answer
    x = 36,448,170,354,407.36

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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.