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Finding the Third Proportional to 34,165,257,607,656 and 74,857,698,887,220

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Solution

The third proportional to 34,165,257,607,656 and 74,857,698,887,220 is: 164,016,766,594,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165,257,607,656 : 74,857,698,887,220 = 74,857,698,887,220 : x
  2. Step 2: Convert to fraction form
    34,165,257,607,656/74,857,698,887,220 = 74,857,698,887,220/x
  3. Step 3: Cross multiply
    34,165,257,607,656x = 74,857,698,887,220 × 74,857,698,887,220
  4. Step 4: Simplify right side
    34,165,257,607,656x = 5,603,675,082,689,698,147,552,198,656
  5. Step 5: Solve for x
    x = 5,603,675,082,689,698,147,552,198,656/34,165,257,607,656
  6. Step 6: Final answer
    x = 164,016,766,594,904.47

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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.