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Finding the Third Proportional to 299,780,231 and 668,489,614

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Solution

The third proportional to 299,780,231 and 668,489,614 is: 1,490,686,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780,231 : 668,489,614 = 668,489,614 : x
  2. Step 2: Convert to fraction form
    299,780,231/668,489,614 = 668,489,614/x
  3. Step 3: Cross multiply
    299,780,231x = 668,489,614 × 668,489,614
  4. Step 4: Simplify right side
    299,780,231x = 446,878,364,025,868,992
  5. Step 5: Solve for x
    x = 446,878,364,025,868,992/299,780,231
  6. Step 6: Final answer
    x = 1,490,686,569.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.