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Finding the Third Proportional to 35,654,211 and 78,143,355

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Solution

The third proportional to 35,654,211 and 78,143,355 is: 171,266,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654,211 : 78,143,355 = 78,143,355 : x
  2. Step 2: Convert to fraction form
    35,654,211/78,143,355 = 78,143,355/x
  3. Step 3: Cross multiply
    35,654,211x = 78,143,355 × 78,143,355
  4. Step 4: Simplify right side
    35,654,211x = 6,106,383,930,656,025
  5. Step 5: Solve for x
    x = 6,106,383,930,656,025/35,654,211
  6. Step 6: Final answer
    x = 171,266,836.63

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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.