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Finding the Third Proportional to 46,599,264 and 101,379,840

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Solution

The third proportional to 46,599,264 and 101,379,840 is: 220,558,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,599,264 : 101,379,840 = 101,379,840 : x
  2. Step 2: Convert to fraction form
    46,599,264/101,379,840 = 101,379,840/x
  3. Step 3: Cross multiply
    46,599,264x = 101,379,840 × 101,379,840
  4. Step 4: Simplify right side
    46,599,264x = 10,277,871,958,425,600
  5. Step 5: Solve for x
    x = 10,277,871,958,425,600/46,599,264
  6. Step 6: Final answer
    x = 220,558,675.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.