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Finding the Third Proportional to 736,362,479,584 and 1,720,475,012,824

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Solution

The third proportional to 736,362,479,584 and 1,720,475,012,824 is: 4,019,805,940,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,362,479,584 : 1,720,475,012,824 = 1,720,475,012,824 : x
  2. Step 2: Convert to fraction form
    736,362,479,584/1,720,475,012,824 = 1,720,475,012,824/x
  3. Step 3: Cross multiply
    736,362,479,584x = 1,720,475,012,824 × 1,720,475,012,824
  4. Step 4: Simplify right side
    736,362,479,584x = 2,960,034,269,751,742,860,099,584
  5. Step 5: Solve for x
    x = 2,960,034,269,751,742,860,099,584/736,362,479,584
  6. Step 6: Final answer
    x = 4,019,805,940,443.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.