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Finding the Third Proportional to 64,156,752 and 138,328,992

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Solution

The third proportional to 64,156,752 and 138,328,992 is: 298,252,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156,752 : 138,328,992 = 138,328,992 : x
  2. Step 2: Convert to fraction form
    64,156,752/138,328,992 = 138,328,992/x
  3. Step 3: Cross multiply
    64,156,752x = 138,328,992 × 138,328,992
  4. Step 4: Simplify right side
    64,156,752x = 19,134,910,027,736,064
  5. Step 5: Solve for x
    x = 19,134,910,027,736,064/64,156,752
  6. Step 6: Final answer
    x = 298,252,474.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.