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Finding the Third Proportional to 3,437,956,224 and 7,366,017,204

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Solution

The third proportional to 3,437,956,224 and 7,366,017,204 is: 15,782,111,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437,956,224 : 7,366,017,204 = 7,366,017,204 : x
  2. Step 2: Convert to fraction form
    3,437,956,224/7,366,017,204 = 7,366,017,204/x
  3. Step 3: Cross multiply
    3,437,956,224x = 7,366,017,204 × 7,366,017,204
  4. Step 4: Simplify right side
    3,437,956,224x = 54,258,209,449,623,977,984
  5. Step 5: Solve for x
    x = 54,258,209,449,623,977,984/3,437,956,224
  6. Step 6: Final answer
    x = 15,782,111,788.06

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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.