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Finding the Third Proportional to 45,970,322 and 97,544,470

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Solution

The third proportional to 45,970,322 and 97,544,470 is: 206,979,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970,322 : 97,544,470 = 97,544,470 : x
  2. Step 2: Convert to fraction form
    45,970,322/97,544,470 = 97,544,470/x
  3. Step 3: Cross multiply
    45,970,322x = 97,544,470 × 97,544,470
  4. Step 4: Simplify right side
    45,970,322x = 9,514,923,627,580,900
  5. Step 5: Solve for x
    x = 9,514,923,627,580,900/45,970,322
  6. Step 6: Final answer
    x = 206,979,703.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.