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Finding the Third Proportional to 621,591,512,094 and 1,352,637,588,987

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Solution

The third proportional to 621,591,512,094 and 1,352,637,588,987 is: 2,943,457,900,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,591,512,094 : 1,352,637,588,987 = 1,352,637,588,987 : x
  2. Step 2: Convert to fraction form
    621,591,512,094/1,352,637,588,987 = 1,352,637,588,987/x
  3. Step 3: Cross multiply
    621,591,512,094x = 1,352,637,588,987 × 1,352,637,588,987
  4. Step 4: Simplify right side
    621,591,512,094x = 1,829,628,447,140,564,262,977,536
  5. Step 5: Solve for x
    x = 1,829,628,447,140,564,262,977,536/621,591,512,094
  6. Step 6: Final answer
    x = 2,943,457,900,473.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.