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Finding the Third Proportional to 799,244,490,796 and 1,725,874,692,129

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Solution

The third proportional to 799,244,490,796 and 1,725,874,692,129 is: 3,726,823,878,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,244,490,796 : 1,725,874,692,129 = 1,725,874,692,129 : x
  2. Step 2: Convert to fraction form
    799,244,490,796/1,725,874,692,129 = 1,725,874,692,129/x
  3. Step 3: Cross multiply
    799,244,490,796x = 1,725,874,692,129 × 1,725,874,692,129
  4. Step 4: Simplify right side
    799,244,490,796x = 2,978,643,452,931,370,639,163,392
  5. Step 5: Solve for x
    x = 2,978,643,452,931,370,639,163,392/799,244,490,796
  6. Step 6: Final answer
    x = 3,726,823,878,341.43

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