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Finding the Third Proportional to 6,146,491,933 and 13,225,212,541

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Solution

The third proportional to 6,146,491,933 and 13,225,212,541 is: 28,456,272,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,491,933 : 13,225,212,541 = 13,225,212,541 : x
  2. Step 2: Convert to fraction form
    6,146,491,933/13,225,212,541 = 13,225,212,541/x
  3. Step 3: Cross multiply
    6,146,491,933x = 13,225,212,541 × 13,225,212,541
  4. Step 4: Simplify right side
    6,146,491,933x = 174,906,246,754,623,684,608
  5. Step 5: Solve for x
    x = 174,906,246,754,623,684,608/6,146,491,933
  6. Step 6: Final answer
    x = 28,456,272,075.39

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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.