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Finding the Third Proportional to 1,375,509,238 and 3,021,240,997

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Solution

The third proportional to 1,375,509,238 and 3,021,240,997 is: 6,636,012,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,509,238 : 3,021,240,997 = 3,021,240,997 : x
  2. Step 2: Convert to fraction form
    1,375,509,238/3,021,240,997 = 3,021,240,997/x
  3. Step 3: Cross multiply
    1,375,509,238x = 3,021,240,997 × 3,021,240,997
  4. Step 4: Simplify right side
    1,375,509,238x = 9,127,897,161,953,554,432
  5. Step 5: Solve for x
    x = 9,127,897,161,953,554,432/1,375,509,238
  6. Step 6: Final answer
    x = 6,636,012,983.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.