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Finding the Third Proportional to 79,353,927,257 and 171,331,339,894

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Solution

The third proportional to 79,353,927,257 and 171,331,339,894 is: 369,917,772,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,353,927,257 : 171,331,339,894 = 171,331,339,894 : x
  2. Step 2: Convert to fraction form
    79,353,927,257/171,331,339,894 = 171,331,339,894/x
  3. Step 3: Cross multiply
    79,353,927,257x = 171,331,339,894 × 171,331,339,894
  4. Step 4: Simplify right side
    79,353,927,257x = 29,354,428,029,873,355,227,136
  5. Step 5: Solve for x
    x = 29,354,428,029,873,355,227,136/79,353,927,257
  6. Step 6: Final answer
    x = 369,917,772,749.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.