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Finding the Third Proportional to 51,940,533 and 110,829,354

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Solution

The third proportional to 51,940,533 and 110,829,354 is: 236,484,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940,533 : 110,829,354 = 110,829,354 : x
  2. Step 2: Convert to fraction form
    51,940,533/110,829,354 = 110,829,354/x
  3. Step 3: Cross multiply
    51,940,533x = 110,829,354 × 110,829,354
  4. Step 4: Simplify right side
    51,940,533x = 12,283,145,708,057,316
  5. Step 5: Solve for x
    x = 12,283,145,708,057,316/51,940,533
  6. Step 6: Final answer
    x = 236,484,783.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.