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Finding the Third Proportional to 6,970,399 and 15,098,814.50

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Solution

The third proportional to 6,970,399 and 15,098,814.50 is: 32,706,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,399 : 15,098,814.50 = 15,098,814.50 : x
  2. Step 2: Convert to fraction form
    6,970,399/15,098,814.50 = 15,098,814.50/x
  3. Step 3: Cross multiply
    6,970,399x = 15,098,814.50 × 15,098,814.50
  4. Step 4: Simplify right side
    6,970,399x = 227,974,199,305,410.25
  5. Step 5: Solve for x
    x = 227,974,199,305,410.25/6,970,399
  6. Step 6: Final answer
    x = 32,706,047.29

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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.