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Finding the Third Proportional to 5,780,424 and 13,385,746

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Solution

The third proportional to 5,780,424 and 13,385,746 is: 30,997,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,424 : 13,385,746 = 13,385,746 : x
  2. Step 2: Convert to fraction form
    5,780,424/13,385,746 = 13,385,746/x
  3. Step 3: Cross multiply
    5,780,424x = 13,385,746 × 13,385,746
  4. Step 4: Simplify right side
    5,780,424x = 179,178,195,976,516
  5. Step 5: Solve for x
    x = 179,178,195,976,516/5,780,424
  6. Step 6: Final answer
    x = 30,997,414.03

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.