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Finding the Third Proportional to 15,977,724 and 34,944,696

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Solution

The third proportional to 15,977,724 and 34,944,696 is: 76,427,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977,724 : 34,944,696 = 34,944,696 : x
  2. Step 2: Convert to fraction form
    15,977,724/34,944,696 = 34,944,696/x
  3. Step 3: Cross multiply
    15,977,724x = 34,944,696 × 34,944,696
  4. Step 4: Simplify right side
    15,977,724x = 1,221,131,778,532,416
  5. Step 5: Solve for x
    x = 1,221,131,778,532,416/15,977,724
  6. Step 6: Final answer
    x = 76,427,141.85

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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.