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Finding the Third Proportional to 1,164,950,704 and 2,502,796,704

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Solution

The third proportional to 1,164,950,704 and 2,502,796,704 is: 5,377,044,127.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,950,704 : 2,502,796,704 = 2,502,796,704 : x
  2. Step 2: Convert to fraction form
    1,164,950,704/2,502,796,704 = 2,502,796,704/x
  3. Step 3: Cross multiply
    1,164,950,704x = 2,502,796,704 × 2,502,796,704
  4. Step 4: Simplify right side
    1,164,950,704x = 6,263,991,341,553,263,616
  5. Step 5: Solve for x
    x = 6,263,991,341,553,263,616/1,164,950,704
  6. Step 6: Final answer
    x = 5,377,044,127.31

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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.