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Finding the Third Proportional to 26,036,689,665 and 56,511,974,564

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Solution

The third proportional to 26,036,689,665 and 56,511,974,564 is: 122,657,807,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,036,689,665 : 56,511,974,564 = 56,511,974,564 : x
  2. Step 2: Convert to fraction form
    26,036,689,665/56,511,974,564 = 56,511,974,564/x
  3. Step 3: Cross multiply
    26,036,689,665x = 56,511,974,564 × 56,511,974,564
  4. Step 4: Simplify right side
    26,036,689,665x = 3,193,603,269,122,182,873,088
  5. Step 5: Solve for x
    x = 3,193,603,269,122,182,873,088/26,036,689,665
  6. Step 6: Final answer
    x = 122,657,807,509.81

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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.