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Finding the Third Proportional to 6,753,338,523 and 14,880,622,374

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Solution

The third proportional to 6,753,338,523 and 14,880,622,374 is: 32,788,660,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753,338,523 : 14,880,622,374 = 14,880,622,374 : x
  2. Step 2: Convert to fraction form
    6,753,338,523/14,880,622,374 = 14,880,622,374/x
  3. Step 3: Cross multiply
    6,753,338,523x = 14,880,622,374 × 14,880,622,374
  4. Step 4: Simplify right side
    6,753,338,523x = 221,432,922,237,589,389,312
  5. Step 5: Solve for x
    x = 221,432,922,237,589,389,312/6,753,338,523
  6. Step 6: Final answer
    x = 32,788,660,228.34

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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.