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Finding the Third Proportional to 7,579,594,574 and 16,901,981,014

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Solution

The third proportional to 7,579,594,574 and 16,901,981,014 is: 37,690,269,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,594,574 : 16,901,981,014 = 16,901,981,014 : x
  2. Step 2: Convert to fraction form
    7,579,594,574/16,901,981,014 = 16,901,981,014/x
  3. Step 3: Cross multiply
    7,579,594,574x = 16,901,981,014 × 16,901,981,014
  4. Step 4: Simplify right side
    7,579,594,574x = 285,676,962,197,616,459,776
  5. Step 5: Solve for x
    x = 285,676,962,197,616,459,776/7,579,594,574
  6. Step 6: Final answer
    x = 37,690,269,500.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.