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Finding the Third Proportional to 172,620,036 and 369,725,724

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Solution

The third proportional to 172,620,036 and 369,725,724 is: 791,895,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,620,036 : 369,725,724 = 369,725,724 : x
  2. Step 2: Convert to fraction form
    172,620,036/369,725,724 = 369,725,724/x
  3. Step 3: Cross multiply
    172,620,036x = 369,725,724 × 369,725,724
  4. Step 4: Simplify right side
    172,620,036x = 136,697,110,987,324,176
  5. Step 5: Solve for x
    x = 136,697,110,987,324,176/172,620,036
  6. Step 6: Final answer
    x = 791,895,970.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.