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Finding the Third Proportional to 688,577,550.75 and 1,494,062,259.75

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Solution

The third proportional to 688,577,550.75 and 1,494,062,259.75 is: 3,241,787,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,577,550.75 : 1,494,062,259.75 = 1,494,062,259.75 : x
  2. Step 2: Convert to fraction form
    688,577,550.75/1,494,062,259.75 = 1,494,062,259.75/x
  3. Step 3: Cross multiply
    688,577,550.75x = 1,494,062,259.75 × 1,494,062,259.75
  4. Step 4: Simplify right side
    688,577,550.75x = 2,232,222,036,009,276,416
  5. Step 5: Solve for x
    x = 2,232,222,036,009,276,416/688,577,550.75
  6. Step 6: Final answer
    x = 3,241,787,411.71

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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.