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Finding the Third Proportional to 26,677,310,764 and 56,804,926,032

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Solution

The third proportional to 26,677,310,764 and 56,804,926,032 is: 120,956,705,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677,310,764 : 56,804,926,032 = 56,804,926,032 : x
  2. Step 2: Convert to fraction form
    26,677,310,764/56,804,926,032 = 56,804,926,032/x
  3. Step 3: Cross multiply
    26,677,310,764x = 56,804,926,032 × 56,804,926,032
  4. Step 4: Simplify right side
    26,677,310,764x = 3,226,799,621,500,991,176,704
  5. Step 5: Solve for x
    x = 3,226,799,621,500,991,176,704/26,677,310,764
  6. Step 6: Final answer
    x = 120,956,705,495.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.