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Finding the Third Proportional to 2,079,238,708 and 4,903,378,690

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Solution

The third proportional to 2,079,238,708 and 4,903,378,690 is: 11,563,425,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079,238,708 : 4,903,378,690 = 4,903,378,690 : x
  2. Step 2: Convert to fraction form
    2,079,238,708/4,903,378,690 = 4,903,378,690/x
  3. Step 3: Cross multiply
    2,079,238,708x = 4,903,378,690 × 4,903,378,690
  4. Step 4: Simplify right side
    2,079,238,708x = 24,043,122,577,546,117,120
  5. Step 5: Solve for x
    x = 24,043,122,577,546,117,120/2,079,238,708
  6. Step 6: Final answer
    x = 11,563,425,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.