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Finding the Third Proportional to 2,333,704,226,598 and 5,056,974,606,924

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Solution

The third proportional to 2,333,704,226,598 and 5,056,974,606,924 is: 10,958,111,950,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333,704,226,598 : 5,056,974,606,924 = 5,056,974,606,924 : x
  2. Step 2: Convert to fraction form
    2,333,704,226,598/5,056,974,606,924 = 5,056,974,606,924/x
  3. Step 3: Cross multiply
    2,333,704,226,598x = 5,056,974,606,924 × 5,056,974,606,924
  4. Step 4: Simplify right side
    2,333,704,226,598x = 25,572,992,175,074,142,180,081,664
  5. Step 5: Solve for x
    x = 25,572,992,175,074,142,180,081,664/2,333,704,226,598
  6. Step 6: Final answer
    x = 10,958,111,950,782.06

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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.