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Finding the Third Proportional to 355,185,432 and 749,239,936

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Solution

The third proportional to 355,185,432 and 749,239,936 is: 1,580,471,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,185,432 : 749,239,936 = 749,239,936 : x
  2. Step 2: Convert to fraction form
    355,185,432/749,239,936 = 749,239,936/x
  3. Step 3: Cross multiply
    355,185,432x = 749,239,936 × 749,239,936
  4. Step 4: Simplify right side
    355,185,432x = 561,360,481,697,284,096
  5. Step 5: Solve for x
    x = 561,360,481,697,284,096/355,185,432
  6. Step 6: Final answer
    x = 1,580,471,582.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.