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Finding the Third Proportional to 3,682,768,070 and 7,890,836,042

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Solution

The third proportional to 3,682,768,070 and 7,890,836,042 is: 16,907,199,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,768,070 : 7,890,836,042 = 7,890,836,042 : x
  2. Step 2: Convert to fraction form
    3,682,768,070/7,890,836,042 = 7,890,836,042/x
  3. Step 3: Cross multiply
    3,682,768,070x = 7,890,836,042 × 7,890,836,042
  4. Step 4: Simplify right side
    3,682,768,070x = 62,265,293,441,726,226,432
  5. Step 5: Solve for x
    x = 62,265,293,441,726,226,432/3,682,768,070
  6. Step 6: Final answer
    x = 16,907,199,220.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.