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Finding the Third Proportional to 799,244,490,788 and 1,725,874,692,109

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Solution

The third proportional to 799,244,490,788 and 1,725,874,692,109 is: 3,726,823,878,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,244,490,788 : 1,725,874,692,109 = 1,725,874,692,109 : x
  2. Step 2: Convert to fraction form
    799,244,490,788/1,725,874,692,109 = 1,725,874,692,109/x
  3. Step 3: Cross multiply
    799,244,490,788x = 1,725,874,692,109 × 1,725,874,692,109
  4. Step 4: Simplify right side
    799,244,490,788x = 2,978,643,452,862,335,482,331,136
  5. Step 5: Solve for x
    x = 2,978,643,452,862,335,482,331,136/799,244,490,788
  6. Step 6: Final answer
    x = 3,726,823,878,292.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.