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Finding the Third Proportional to 10,947,213 and 16,791,732

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Solution

The third proportional to 10,947,213 and 16,791,732 is: 25,756,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947,213 : 16,791,732 = 16,791,732 : x
  2. Step 2: Convert to fraction form
    10,947,213/16,791,732 = 16,791,732/x
  3. Step 3: Cross multiply
    10,947,213x = 16,791,732 × 16,791,732
  4. Step 4: Simplify right side
    10,947,213x = 281,962,263,559,824
  5. Step 5: Solve for x
    x = 281,962,263,559,824/10,947,213
  6. Step 6: Final answer
    x = 25,756,533.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.