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Finding the Third Proportional to 47,236,752 and 101,718,144

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Solution

The third proportional to 47,236,752 and 101,718,144 is: 219,036,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,236,752 : 101,718,144 = 101,718,144 : x
  2. Step 2: Convert to fraction form
    47,236,752/101,718,144 = 101,718,144/x
  3. Step 3: Cross multiply
    47,236,752x = 101,718,144 × 101,718,144
  4. Step 4: Simplify right side
    47,236,752x = 10,346,580,818,804,736
  5. Step 5: Solve for x
    x = 10,346,580,818,804,736/47,236,752
  6. Step 6: Final answer
    x = 219,036,669.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.