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Finding the Third Proportional to 2,178,477 and 4,606,282.13

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Solution

The third proportional to 2,178,477 and 4,606,282.13 is: 9,739,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178,477 : 4,606,282.13 = 4,606,282.13 : x
  2. Step 2: Convert to fraction form
    2,178,477/4,606,282.13 = 4,606,282.13/x
  3. Step 3: Cross multiply
    2,178,477x = 4,606,282.13 × 4,606,282.13
  4. Step 4: Simplify right side
    2,178,477x = 21,217,835,015,094.52
  5. Step 5: Solve for x
    x = 21,217,835,015,094.52/2,178,477
  6. Step 6: Final answer
    x = 9,739,756.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.