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Finding the Third Proportional to 2,486,822,029 and 5,393,234,079

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Solution

The third proportional to 2,486,822,029 and 5,393,234,079 is: 11,696,443,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,822,029 : 5,393,234,079 = 5,393,234,079 : x
  2. Step 2: Convert to fraction form
    2,486,822,029/5,393,234,079 = 5,393,234,079/x
  3. Step 3: Cross multiply
    2,486,822,029x = 5,393,234,079 × 5,393,234,079
  4. Step 4: Simplify right side
    2,486,822,029x = 29,086,973,830,886,977,536
  5. Step 5: Solve for x
    x = 29,086,973,830,886,977,536/2,486,822,029
  6. Step 6: Final answer
    x = 11,696,443,690.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.