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Finding the Third Proportional to 34,300,182,164 and 74,298,671,536

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Solution

The third proportional to 34,300,182,164 and 74,298,671,536 is: 160,940,620,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,300,182,164 : 74,298,671,536 = 74,298,671,536 : x
  2. Step 2: Convert to fraction form
    34,300,182,164/74,298,671,536 = 74,298,671,536/x
  3. Step 3: Cross multiply
    34,300,182,164x = 74,298,671,536 × 74,298,671,536
  4. Step 4: Simplify right side
    34,300,182,164x = 5,520,292,592,014,416,936,960
  5. Step 5: Solve for x
    x = 5,520,292,592,014,416,936,960/34,300,182,164
  6. Step 6: Final answer
    x = 160,940,620,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.