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Finding the Third Proportional to 447,617,755.13 and 963,259,978.50

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Solution

The third proportional to 447,617,755.13 and 963,259,978.50 is: 2,072,906,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,755.13 : 963,259,978.50 = 963,259,978.50 : x
  2. Step 2: Convert to fraction form
    447,617,755.13/963,259,978.50 = 963,259,978.50/x
  3. Step 3: Cross multiply
    447,617,755.13x = 963,259,978.50 × 963,259,978.50
  4. Step 4: Simplify right side
    447,617,755.13x = 927,869,786,179,820,416
  5. Step 5: Solve for x
    x = 927,869,786,179,820,416/447,617,755.13
  6. Step 6: Final answer
    x = 2,072,906,571.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.