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Finding the Third Proportional to 14,371,024.50 and 21,705,738.75

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Solution

The third proportional to 14,371,024.50 and 21,705,738.75 is: 32,783,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371,024.50 : 21,705,738.75 = 21,705,738.75 : x
  2. Step 2: Convert to fraction form
    14,371,024.50/21,705,738.75 = 21,705,738.75/x
  3. Step 3: Cross multiply
    14,371,024.50x = 21,705,738.75 × 21,705,738.75
  4. Step 4: Simplify right side
    14,371,024.50x = 471,139,094,683,251.56
  5. Step 5: Solve for x
    x = 471,139,094,683,251.56/14,371,024.50
  6. Step 6: Final answer
    x = 32,783,960.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.