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Finding the Third Proportional to 6,829,369,452 and 15,229,032,240

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Solution

The third proportional to 6,829,369,452 and 15,229,032,240 is: 33,959,712,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,369,452 : 15,229,032,240 = 15,229,032,240 : x
  2. Step 2: Convert to fraction form
    6,829,369,452/15,229,032,240 = 15,229,032,240/x
  3. Step 3: Cross multiply
    6,829,369,452x = 15,229,032,240 × 15,229,032,240
  4. Step 4: Simplify right side
    6,829,369,452x = 231,923,422,966,959,407,104
  5. Step 5: Solve for x
    x = 231,923,422,966,959,407,104/6,829,369,452
  6. Step 6: Final answer
    x = 33,959,712,473.75

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