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Finding the Third Proportional to 3,085,822,062 and 6,761,182,410

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Solution

The third proportional to 3,085,822,062 and 6,761,182,410 is: 14,814,071,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,822,062 : 6,761,182,410 = 6,761,182,410 : x
  2. Step 2: Convert to fraction form
    3,085,822,062/6,761,182,410 = 6,761,182,410/x
  3. Step 3: Cross multiply
    3,085,822,062x = 6,761,182,410 × 6,761,182,410
  4. Step 4: Simplify right side
    3,085,822,062x = 45,713,587,581,293,404,160
  5. Step 5: Solve for x
    x = 45,713,587,581,293,404,160/3,085,822,062
  6. Step 6: Final answer
    x = 14,814,071,149.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.