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Finding the Third Proportional to 46,009,638 and 67,234,910

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Solution

The third proportional to 46,009,638 and 67,234,910 is: 98,251,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,009,638 : 67,234,910 = 67,234,910 : x
  2. Step 2: Convert to fraction form
    46,009,638/67,234,910 = 67,234,910/x
  3. Step 3: Cross multiply
    46,009,638x = 67,234,910 × 67,234,910
  4. Step 4: Simplify right side
    46,009,638x = 4,520,533,122,708,100
  5. Step 5: Solve for x
    x = 4,520,533,122,708,100/46,009,638
  6. Step 6: Final answer
    x = 98,251,873.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.