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Finding the Third Proportional to 1,645,369,245 and 3,559,108,809

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Solution

The third proportional to 1,645,369,245 and 3,559,108,809 is: 7,698,731,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,369,245 : 3,559,108,809 = 3,559,108,809 : x
  2. Step 2: Convert to fraction form
    1,645,369,245/3,559,108,809 = 3,559,108,809/x
  3. Step 3: Cross multiply
    1,645,369,245x = 3,559,108,809 × 3,559,108,809
  4. Step 4: Simplify right side
    1,645,369,245x = 12,667,255,514,301,399,040
  5. Step 5: Solve for x
    x = 12,667,255,514,301,399,040/1,645,369,245
  6. Step 6: Final answer
    x = 7,698,731,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.