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Finding the Third Proportional to 4,768,443 and 10,218,690

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Solution

The third proportional to 4,768,443 and 10,218,690 is: 21,898,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,443 : 10,218,690 = 10,218,690 : x
  2. Step 2: Convert to fraction form
    4,768,443/10,218,690 = 10,218,690/x
  3. Step 3: Cross multiply
    4,768,443x = 10,218,690 × 10,218,690
  4. Step 4: Simplify right side
    4,768,443x = 104,421,625,316,100
  5. Step 5: Solve for x
    x = 104,421,625,316,100/4,768,443
  6. Step 6: Final answer
    x = 21,898,474.05

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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.