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Finding the Third Proportional to 318,101,138 and 695,746,852

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Solution

The third proportional to 318,101,138 and 695,746,852 is: 1,521,728,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,101,138 : 695,746,852 = 695,746,852 : x
  2. Step 2: Convert to fraction form
    318,101,138/695,746,852 = 695,746,852/x
  3. Step 3: Cross multiply
    318,101,138x = 695,746,852 × 695,746,852
  4. Step 4: Simplify right side
    318,101,138x = 484,063,682,067,909,888
  5. Step 5: Solve for x
    x = 484,063,682,067,909,888/318,101,138
  6. Step 6: Final answer
    x = 1,521,728,859.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.