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Finding the Third Proportional to 10,781,323.50 and 23,381,730.75

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Solution

The third proportional to 10,781,323.50 and 23,381,730.75 is: 50,708,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781,323.50 : 23,381,730.75 = 23,381,730.75 : x
  2. Step 2: Convert to fraction form
    10,781,323.50/23,381,730.75 = 23,381,730.75/x
  3. Step 3: Cross multiply
    10,781,323.50x = 23,381,730.75 × 23,381,730.75
  4. Step 4: Simplify right side
    10,781,323.50x = 546,705,332,865,495.56
  5. Step 5: Solve for x
    x = 546,705,332,865,495.56/10,781,323.50
  6. Step 6: Final answer
    x = 50,708,554.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.