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Finding the Third Proportional to 61,307,409 and 102,174,927

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Solution

The third proportional to 61,307,409 and 102,174,927 is: 170,284,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307,409 : 102,174,927 = 102,174,927 : x
  2. Step 2: Convert to fraction form
    61,307,409/102,174,927 = 102,174,927/x
  3. Step 3: Cross multiply
    61,307,409x = 102,174,927 × 102,174,927
  4. Step 4: Simplify right side
    61,307,409x = 10,439,715,707,455,328
  5. Step 5: Solve for x
    x = 10,439,715,707,455,328/61,307,409
  6. Step 6: Final answer
    x = 170,284,731.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.