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Finding the Third Proportional to 759,975,464 and 1,659,872,272

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Solution

The third proportional to 759,975,464 and 1,659,872,272 is: 3,625,348,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,975,464 : 1,659,872,272 = 1,659,872,272 : x
  2. Step 2: Convert to fraction form
    759,975,464/1,659,872,272 = 1,659,872,272/x
  3. Step 3: Cross multiply
    759,975,464x = 1,659,872,272 × 1,659,872,272
  4. Step 4: Simplify right side
    759,975,464x = 2,755,175,959,354,441,728
  5. Step 5: Solve for x
    x = 2,755,175,959,354,441,728/759,975,464
  6. Step 6: Final answer
    x = 3,625,348,566.98

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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.