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Finding the Third Proportional to 291,893,424 and 634,593,936

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Solution

The third proportional to 291,893,424 and 634,593,936 is: 1,379,645,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,893,424 : 634,593,936 = 634,593,936 : x
  2. Step 2: Convert to fraction form
    291,893,424/634,593,936 = 634,593,936/x
  3. Step 3: Cross multiply
    291,893,424x = 634,593,936 × 634,593,936
  4. Step 4: Simplify right side
    291,893,424x = 402,709,463,607,972,096
  5. Step 5: Solve for x
    x = 402,709,463,607,972,096/291,893,424
  6. Step 6: Final answer
    x = 1,379,645,550.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.