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Finding the Third Proportional to 2,473,114.50 and 5,369,229

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Solution

The third proportional to 2,473,114.50 and 5,369,229 is: 11,656,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,114.50 : 5,369,229 = 5,369,229 : x
  2. Step 2: Convert to fraction form
    2,473,114.50/5,369,229 = 5,369,229/x
  3. Step 3: Cross multiply
    2,473,114.50x = 5,369,229 × 5,369,229
  4. Step 4: Simplify right side
    2,473,114.50x = 28,828,620,054,441
  5. Step 5: Solve for x
    x = 28,828,620,054,441/2,473,114.50
  6. Step 6: Final answer
    x = 11,656,807.66

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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.