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Finding the Third Proportional to 458,503,099 and 1,007,080,367

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Solution

The third proportional to 458,503,099 and 1,007,080,367 is: 2,212,004,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,503,099 : 1,007,080,367 = 1,007,080,367 : x
  2. Step 2: Convert to fraction form
    458,503,099/1,007,080,367 = 1,007,080,367/x
  3. Step 3: Cross multiply
    458,503,099x = 1,007,080,367 × 1,007,080,367
  4. Step 4: Simplify right side
    458,503,099x = 1,014,210,865,596,854,656
  5. Step 5: Solve for x
    x = 1,014,210,865,596,854,656/458,503,099
  6. Step 6: Final answer
    x = 2,212,004,385.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.