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Finding the Third Proportional to 12,020,009 and 24,464,457.50

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Solution

The third proportional to 12,020,009 and 24,464,457.50 is: 49,792,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020,009 : 24,464,457.50 = 24,464,457.50 : x
  2. Step 2: Convert to fraction form
    12,020,009/24,464,457.50 = 24,464,457.50/x
  3. Step 3: Cross multiply
    12,020,009x = 24,464,457.50 × 24,464,457.50
  4. Step 4: Simplify right side
    12,020,009x = 598,509,680,769,306.25
  5. Step 5: Solve for x
    x = 598,509,680,769,306.25/12,020,009
  6. Step 6: Final answer
    x = 49,792,781.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.