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Finding the Third Proportional to 688,577,610 and 1,494,062,377.50

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Solution

The third proportional to 688,577,610 and 1,494,062,377.50 is: 3,241,787,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,577,610 : 1,494,062,377.50 = 1,494,062,377.50 : x
  2. Step 2: Convert to fraction form
    688,577,610/1,494,062,377.50 = 1,494,062,377.50/x
  3. Step 3: Cross multiply
    688,577,610x = 1,494,062,377.50 × 1,494,062,377.50
  4. Step 4: Simplify right side
    688,577,610x = 2,232,222,387,860,952,576
  5. Step 5: Solve for x
    x = 2,232,222,387,860,952,576/688,577,610
  6. Step 6: Final answer
    x = 3,241,787,643.75

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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.