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Finding the Third Proportional to 3,535,901,658 and 7,699,568,076

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Solution

The third proportional to 3,535,901,658 and 7,699,568,076 is: 16,766,119,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535,901,658 : 7,699,568,076 = 7,699,568,076 : x
  2. Step 2: Convert to fraction form
    3,535,901,658/7,699,568,076 = 7,699,568,076/x
  3. Step 3: Cross multiply
    3,535,901,658x = 7,699,568,076 × 7,699,568,076
  4. Step 4: Simplify right side
    3,535,901,658x = 59,283,348,556,958,343,168
  5. Step 5: Solve for x
    x = 59,283,348,556,958,343,168/3,535,901,658
  6. Step 6: Final answer
    x = 16,766,119,165.91

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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.