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Finding the Third Proportional to 34,640,705 and 48,429,747

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Solution

The third proportional to 34,640,705 and 48,429,747 is: 67,707,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640,705 : 48,429,747 = 48,429,747 : x
  2. Step 2: Convert to fraction form
    34,640,705/48,429,747 = 48,429,747/x
  3. Step 3: Cross multiply
    34,640,705x = 48,429,747 × 48,429,747
  4. Step 4: Simplify right side
    34,640,705x = 2,345,440,394,484,009
  5. Step 5: Solve for x
    x = 2,345,440,394,484,009/34,640,705
  6. Step 6: Final answer
    x = 67,707,640.32

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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.