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Finding the Third Proportional to 30,700,673 and 67,169,558

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Solution

The third proportional to 30,700,673 and 67,169,558 is: 146,959,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,673 : 67,169,558 = 67,169,558 : x
  2. Step 2: Convert to fraction form
    30,700,673/67,169,558 = 67,169,558/x
  3. Step 3: Cross multiply
    30,700,673x = 67,169,558 × 67,169,558
  4. Step 4: Simplify right side
    30,700,673x = 4,511,749,521,915,364
  5. Step 5: Solve for x
    x = 4,511,749,521,915,364/30,700,673
  6. Step 6: Final answer
    x = 146,959,303.53

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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.