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Finding the Third Proportional to 959,228,299 and 2,099,271,615.50

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Solution

The third proportional to 959,228,299 and 2,099,271,615.50 is: 4,594,256,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,228,299 : 2,099,271,615.50 = 2,099,271,615.50 : x
  2. Step 2: Convert to fraction form
    959,228,299/2,099,271,615.50 = 2,099,271,615.50/x
  3. Step 3: Cross multiply
    959,228,299x = 2,099,271,615.50 × 2,099,271,615.50
  4. Step 4: Simplify right side
    959,228,299x = 4,406,941,315,643,979,776
  5. Step 5: Solve for x
    x = 4,406,941,315,643,979,776/959,228,299
  6. Step 6: Final answer
    x = 4,594,256,987.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.