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Finding the Third Proportional to 34,640,703 and 48,429,744.19

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Solution

The third proportional to 34,640,703 and 48,429,744.19 is: 67,707,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640,703 : 48,429,744.19 = 48,429,744.19 : x
  2. Step 2: Convert to fraction form
    34,640,703/48,429,744.19 = 48,429,744.19/x
  3. Step 3: Cross multiply
    34,640,703x = 48,429,744.19 × 48,429,744.19
  4. Step 4: Simplify right side
    34,640,703x = 2,345,440,122,066,690
  5. Step 5: Solve for x
    x = 2,345,440,122,066,690/34,640,703
  6. Step 6: Final answer
    x = 67,707,636.36

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Why These Related Problems?

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