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Finding the Third Proportional to 13,489,750.13 and 19,470,701.53

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Solution

The third proportional to 13,489,750.13 and 19,470,701.53 is: 28,103,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489,750.13 : 19,470,701.53 = 19,470,701.53 : x
  2. Step 2: Convert to fraction form
    13,489,750.13/19,470,701.53 = 19,470,701.53/x
  3. Step 3: Cross multiply
    13,489,750.13x = 19,470,701.53 × 19,470,701.53
  4. Step 4: Simplify right side
    13,489,750.13x = 379,108,218,119,021.12
  5. Step 5: Solve for x
    x = 379,108,218,119,021.12/13,489,750.13
  6. Step 6: Final answer
    x = 28,103,427.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.