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Finding the Third Proportional to 155,069,457,264 and 337,308,697,872

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Solution

The third proportional to 155,069,457,264 and 337,308,697,872 is: 733,717,391,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,069,457,264 : 337,308,697,872 = 337,308,697,872 : x
  2. Step 2: Convert to fraction form
    155,069,457,264/337,308,697,872 = 337,308,697,872/x
  3. Step 3: Cross multiply
    155,069,457,264x = 337,308,697,872 × 337,308,697,872
  4. Step 4: Simplify right side
    155,069,457,264x = 113,777,157,660,104,179,318,784
  5. Step 5: Solve for x
    x = 113,777,157,660,104,179,318,784/155,069,457,264
  6. Step 6: Final answer
    x = 733,717,391,339.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.