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Finding the Third Proportional to 2,183,140,055 and 4,748,789,326

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Solution

The third proportional to 2,183,140,055 and 4,748,789,326 is: 10,329,616,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,140,055 : 4,748,789,326 = 4,748,789,326 : x
  2. Step 2: Convert to fraction form
    2,183,140,055/4,748,789,326 = 4,748,789,326/x
  3. Step 3: Cross multiply
    2,183,140,055x = 4,748,789,326 × 4,748,789,326
  4. Step 4: Simplify right side
    2,183,140,055x = 22,551,000,062,731,534,336
  5. Step 5: Solve for x
    x = 22,551,000,062,731,534,336/2,183,140,055
  6. Step 6: Final answer
    x = 10,329,616,742.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.