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Finding the Third Proportional to 4,190,682,303 and 9,125,382,015

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Solution

The third proportional to 4,190,682,303 and 9,125,382,015 is: 19,870,892,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,682,303 : 9,125,382,015 = 9,125,382,015 : x
  2. Step 2: Convert to fraction form
    4,190,682,303/9,125,382,015 = 9,125,382,015/x
  3. Step 3: Cross multiply
    4,190,682,303x = 9,125,382,015 × 9,125,382,015
  4. Step 4: Simplify right side
    4,190,682,303x = 83,272,596,919,685,464,064
  5. Step 5: Solve for x
    x = 83,272,596,919,685,464,064/4,190,682,303
  6. Step 6: Final answer
    x = 19,870,892,350.89

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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.