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Finding the Third Proportional to 7,546,492.13 and 11,768,141.91

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Solution

The third proportional to 7,546,492.13 and 11,768,141.91 is: 18,351,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546,492.13 : 11,768,141.91 = 11,768,141.91 : x
  2. Step 2: Convert to fraction form
    7,546,492.13/11,768,141.91 = 11,768,141.91/x
  3. Step 3: Cross multiply
    7,546,492.13x = 11,768,141.91 × 11,768,141.91
  4. Step 4: Simplify right side
    7,546,492.13x = 138,489,163,925,637.39
  5. Step 5: Solve for x
    x = 138,489,163,925,637.39/7,546,492.13
  6. Step 6: Final answer
    x = 18,351,462.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.