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Finding the Third Proportional to 24,178,630.50 and 49,776,381

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Solution

The third proportional to 24,178,630.50 and 49,776,381 is: 102,474,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178,630.50 : 49,776,381 = 49,776,381 : x
  2. Step 2: Convert to fraction form
    24,178,630.50/49,776,381 = 49,776,381/x
  3. Step 3: Cross multiply
    24,178,630.50x = 49,776,381 × 49,776,381
  4. Step 4: Simplify right side
    24,178,630.50x = 2,477,688,105,457,161
  5. Step 5: Solve for x
    x = 2,477,688,105,457,161/24,178,630.50
  6. Step 6: Final answer
    x = 102,474,294.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.