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Finding the Third Proportional to 10,793,959.50 and 23,381,532

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Solution

The third proportional to 10,793,959.50 and 23,381,532 is: 50,648,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793,959.50 : 23,381,532 = 23,381,532 : x
  2. Step 2: Convert to fraction form
    10,793,959.50/23,381,532 = 23,381,532/x
  3. Step 3: Cross multiply
    10,793,959.50x = 23,381,532 × 23,381,532
  4. Step 4: Simplify right side
    10,793,959.50x = 546,696,038,667,024
  5. Step 5: Solve for x
    x = 546,696,038,667,024/10,793,959.50
  6. Step 6: Final answer
    x = 50,648,331.47

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Why These Related Problems?

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