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Finding the Third Proportional to 18,918,534,920 and 26,607,653,616

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Solution

The third proportional to 18,918,534,920 and 26,607,653,616 is: 37,421,884,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918,534,920 : 26,607,653,616 = 26,607,653,616 : x
  2. Step 2: Convert to fraction form
    18,918,534,920/26,607,653,616 = 26,607,653,616/x
  3. Step 3: Cross multiply
    18,918,534,920x = 26,607,653,616 × 26,607,653,616
  4. Step 4: Simplify right side
    18,918,534,920x = 707,967,230,949,037,834,240
  5. Step 5: Solve for x
    x = 707,967,230,949,037,834,240/18,918,534,920
  6. Step 6: Final answer
    x = 37,421,884,619.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.