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Finding the Third Proportional to 2,421,992.63 and 5,191,723.13

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Solution

The third proportional to 2,421,992.63 and 5,191,723.13 is: 11,128,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,992.63 : 5,191,723.13 = 5,191,723.13 : x
  2. Step 2: Convert to fraction form
    2,421,992.63/5,191,723.13 = 5,191,723.13/x
  3. Step 3: Cross multiply
    2,421,992.63x = 5,191,723.13 × 5,191,723.13
  4. Step 4: Simplify right side
    2,421,992.63x = 26,953,989,006,659.77
  5. Step 5: Solve for x
    x = 26,953,989,006,659.77/2,421,992.63
  6. Step 6: Final answer
    x = 11,128,848.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.