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Finding the Third Proportional to 30,279,841 and 65,670,700

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Solution

The third proportional to 30,279,841 and 65,670,700 is: 142,426,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,841 : 65,670,700 = 65,670,700 : x
  2. Step 2: Convert to fraction form
    30,279,841/65,670,700 = 65,670,700/x
  3. Step 3: Cross multiply
    30,279,841x = 65,670,700 × 65,670,700
  4. Step 4: Simplify right side
    30,279,841x = 4,312,640,838,490,000
  5. Step 5: Solve for x
    x = 4,312,640,838,490,000/30,279,841
  6. Step 6: Final answer
    x = 142,426,138.85

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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.