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Finding the Third Proportional to 1,006,638,726,417 and 2,208,167,894,361

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Solution

The third proportional to 1,006,638,726,417 and 2,208,167,894,361 is: 4,843,848,464,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,638,726,417 : 2,208,167,894,361 = 2,208,167,894,361 : x
  2. Step 2: Convert to fraction form
    1,006,638,726,417/2,208,167,894,361 = 2,208,167,894,361/x
  3. Step 3: Cross multiply
    1,006,638,726,417x = 2,208,167,894,361 × 2,208,167,894,361
  4. Step 4: Simplify right side
    1,006,638,726,417x = 4,876,005,449,686,692,984,258,560
  5. Step 5: Solve for x
    x = 4,876,005,449,686,692,984,258,560/1,006,638,726,417
  6. Step 6: Final answer
    x = 4,843,848,464,922.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.