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Finding the Third Proportional to 1,639,411,032 and 3,540,580,080

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Solution

The third proportional to 1,639,411,032 and 3,540,580,080 is: 7,646,470,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,411,032 : 3,540,580,080 = 3,540,580,080 : x
  2. Step 2: Convert to fraction form
    1,639,411,032/3,540,580,080 = 3,540,580,080/x
  3. Step 3: Cross multiply
    1,639,411,032x = 3,540,580,080 × 3,540,580,080
  4. Step 4: Simplify right side
    1,639,411,032x = 12,535,707,302,892,806,144
  5. Step 5: Solve for x
    x = 12,535,707,302,892,806,144/1,639,411,032
  6. Step 6: Final answer
    x = 7,646,470,017.71

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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.