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Finding the Third Proportional to 1,006,638,726,421 and 2,208,167,894,367

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Solution

The third proportional to 1,006,638,726,421 and 2,208,167,894,367 is: 4,843,848,464,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,638,726,421 : 2,208,167,894,367 = 2,208,167,894,367 : x
  2. Step 2: Convert to fraction form
    1,006,638,726,421/2,208,167,894,367 = 2,208,167,894,367/x
  3. Step 3: Cross multiply
    1,006,638,726,421x = 2,208,167,894,367 × 2,208,167,894,367
  4. Step 4: Simplify right side
    1,006,638,726,421x = 4,876,005,449,713,190,784,991,232
  5. Step 5: Solve for x
    x = 4,876,005,449,713,190,784,991,232/1,006,638,726,421
  6. Step 6: Final answer
    x = 4,843,848,464,929.74

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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.