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Finding the Third Proportional to 76,703,810 and 164,791,684

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Solution

The third proportional to 76,703,810 and 164,791,684 is: 354,041,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703,810 : 164,791,684 = 164,791,684 : x
  2. Step 2: Convert to fraction form
    76,703,810/164,791,684 = 164,791,684/x
  3. Step 3: Cross multiply
    76,703,810x = 164,791,684 × 164,791,684
  4. Step 4: Simplify right side
    76,703,810x = 27,156,299,115,555,856
  5. Step 5: Solve for x
    x = 27,156,299,115,555,856/76,703,810
  6. Step 6: Final answer
    x = 354,041,071.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.