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Finding the Third Proportional to 471,986,171,292 and 1,038,115,521,384

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Solution

The third proportional to 471,986,171,292 and 1,038,115,521,384 is: 2,283,295,361,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,986,171,292 : 1,038,115,521,384 = 1,038,115,521,384 : x
  2. Step 2: Convert to fraction form
    471,986,171,292/1,038,115,521,384 = 1,038,115,521,384/x
  3. Step 3: Cross multiply
    471,986,171,292x = 1,038,115,521,384 × 1,038,115,521,384
  4. Step 4: Simplify right side
    471,986,171,292x = 1,077,683,835,738,374,094,716,928
  5. Step 5: Solve for x
    x = 1,077,683,835,738,374,094,716,928/471,986,171,292
  6. Step 6: Final answer
    x = 2,283,295,361,786.46

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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.