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Finding the Third Proportional to 621,591,512,084 and 1,352,637,588,965

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Solution

The third proportional to 621,591,512,084 and 1,352,637,588,965 is: 2,943,457,900,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,591,512,084 : 1,352,637,588,965 = 1,352,637,588,965 : x
  2. Step 2: Convert to fraction form
    621,591,512,084/1,352,637,588,965 = 1,352,637,588,965/x
  3. Step 3: Cross multiply
    621,591,512,084x = 1,352,637,588,965 × 1,352,637,588,965
  4. Step 4: Simplify right side
    621,591,512,084x = 1,829,628,447,081,048,364,285,952
  5. Step 5: Solve for x
    x = 1,829,628,447,081,048,364,285,952/621,591,512,084
  6. Step 6: Final answer
    x = 2,943,457,900,425.45

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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.