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Finding the Third Proportional to 34,165,257,607,659 and 74,857,698,887,226

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Solution

The third proportional to 34,165,257,607,659 and 74,857,698,887,226 is: 164,016,766,594,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165,257,607,659 : 74,857,698,887,226 = 74,857,698,887,226 : x
  2. Step 2: Convert to fraction form
    34,165,257,607,659/74,857,698,887,226 = 74,857,698,887,226/x
  3. Step 3: Cross multiply
    34,165,257,607,659x = 74,857,698,887,226 × 74,857,698,887,226
  4. Step 4: Simplify right side
    34,165,257,607,659x = 5,603,675,082,690,596,448,552,091,648
  5. Step 5: Solve for x
    x = 5,603,675,082,690,596,448,552,091,648/34,165,257,607,659
  6. Step 6: Final answer
    x = 164,016,766,594,916.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.