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Finding the Third Proportional to 34,640,677.69 and 48,429,706.36

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Solution

The third proportional to 34,640,677.69 and 48,429,706.36 is: 67,707,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640,677.69 : 48,429,706.36 = 48,429,706.36 : x
  2. Step 2: Convert to fraction form
    34,640,677.69/48,429,706.36 = 48,429,706.36/x
  3. Step 3: Cross multiply
    34,640,677.69x = 48,429,706.36 × 48,429,706.36
  4. Step 4: Simplify right side
    34,640,677.69x = 2,345,436,458,055,287.50
  5. Step 5: Solve for x
    x = 2,345,436,458,055,287.50/34,640,677.69
  6. Step 6: Final answer
    x = 67,707,580.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.