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Finding the Third Proportional to 2,829,836,544 and 6,089,654,784

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Solution

The third proportional to 2,829,836,544 and 6,089,654,784 is: 13,104,606,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,836,544 : 6,089,654,784 = 6,089,654,784 : x
  2. Step 2: Convert to fraction form
    2,829,836,544/6,089,654,784 = 6,089,654,784/x
  3. Step 3: Cross multiply
    2,829,836,544x = 6,089,654,784 × 6,089,654,784
  4. Step 4: Simplify right side
    2,829,836,544x = 37,083,895,388,294,086,656
  5. Step 5: Solve for x
    x = 37,083,895,388,294,086,656/2,829,836,544
  6. Step 6: Final answer
    x = 13,104,606,860.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.