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Finding the Third Proportional to 2,161,765.50 and 4,692,747

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Solution

The third proportional to 2,161,765.50 and 4,692,747 is: 10,186,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,765.50 : 4,692,747 = 4,692,747 : x
  2. Step 2: Convert to fraction form
    2,161,765.50/4,692,747 = 4,692,747/x
  3. Step 3: Cross multiply
    2,161,765.50x = 4,692,747 × 4,692,747
  4. Step 4: Simplify right side
    2,161,765.50x = 22,021,874,406,009
  5. Step 5: Solve for x
    x = 22,021,874,406,009/2,161,765.50
  6. Step 6: Final answer
    x = 10,186,985.78

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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.