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Finding the Third Proportional to 688,577,653.69 and 1,494,062,457.19

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Solution

The third proportional to 688,577,653.69 and 1,494,062,457.19 is: 3,241,787,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,577,653.69 : 1,494,062,457.19 = 1,494,062,457.19 : x
  2. Step 2: Convert to fraction form
    688,577,653.69/1,494,062,457.19 = 1,494,062,457.19/x
  3. Step 3: Cross multiply
    688,577,653.69x = 1,494,062,457.19 × 1,494,062,457.19
  4. Step 4: Simplify right side
    688,577,653.69x = 2,232,222,625,977,150,208
  5. Step 5: Solve for x
    x = 2,232,222,625,977,150,208/688,577,653.69
  6. Step 6: Final answer
    x = 3,241,787,783.88

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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.