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Finding the Third Proportional to 959,228,298 and 2,099,271,613.50

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Solution

The third proportional to 959,228,298 and 2,099,271,613.50 is: 4,594,256,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,228,298 : 2,099,271,613.50 = 2,099,271,613.50 : x
  2. Step 2: Convert to fraction form
    959,228,298/2,099,271,613.50 = 2,099,271,613.50/x
  3. Step 3: Cross multiply
    959,228,298x = 2,099,271,613.50 × 2,099,271,613.50
  4. Step 4: Simplify right side
    959,228,298x = 4,406,941,307,246,893,568
  5. Step 5: Solve for x
    x = 4,406,941,307,246,893,568/959,228,298
  6. Step 6: Final answer
    x = 4,594,256,983.91

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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.