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Finding the Third Proportional to 3,615,443,624 and 7,834,222,152

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Solution

The third proportional to 3,615,443,624 and 7,834,222,152 is: 16,975,796,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,443,624 : 7,834,222,152 = 7,834,222,152 : x
  2. Step 2: Convert to fraction form
    3,615,443,624/7,834,222,152 = 7,834,222,152/x
  3. Step 3: Cross multiply
    3,615,443,624x = 7,834,222,152 × 7,834,222,152
  4. Step 4: Simplify right side
    3,615,443,624x = 61,375,036,726,887,514,112
  5. Step 5: Solve for x
    x = 61,375,036,726,887,514,112/3,615,443,624
  6. Step 6: Final answer
    x = 16,975,796,917.28

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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.