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Finding the Third Proportional to 107,696,847 and 259,651,570.50

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Solution

The third proportional to 107,696,847 and 259,651,570.50 is: 626,006,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,696,847 : 259,651,570.50 = 259,651,570.50 : x
  2. Step 2: Convert to fraction form
    107,696,847/259,651,570.50 = 259,651,570.50/x
  3. Step 3: Cross multiply
    107,696,847x = 259,651,570.50 × 259,651,570.50
  4. Step 4: Simplify right side
    107,696,847x = 67,418,938,063,116,472
  5. Step 5: Solve for x
    x = 67,418,938,063,116,472/107,696,847
  6. Step 6: Final answer
    x = 626,006,609.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.