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Finding the Third Proportional to 1,639,411,028 and 3,540,580,072

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Solution

The third proportional to 1,639,411,028 and 3,540,580,072 is: 7,646,470,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,411,028 : 3,540,580,072 = 3,540,580,072 : x
  2. Step 2: Convert to fraction form
    1,639,411,028/3,540,580,072 = 3,540,580,072/x
  3. Step 3: Cross multiply
    1,639,411,028x = 3,540,580,072 × 3,540,580,072
  4. Step 4: Simplify right side
    1,639,411,028x = 12,535,707,246,243,524,608
  5. Step 5: Solve for x
    x = 12,535,707,246,243,524,608/1,639,411,028
  6. Step 6: Final answer
    x = 7,646,470,001.81

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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.