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Finding the Third Proportional to 15,671,209,207,314 and 34,093,814,995,814

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Solution

The third proportional to 15,671,209,207,314 and 34,093,814,995,814 is: 74,173,486,269,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671,209,207,314 : 34,093,814,995,814 = 34,093,814,995,814 : x
  2. Step 2: Convert to fraction form
    15,671,209,207,314/34,093,814,995,814 = 34,093,814,995,814/x
  3. Step 3: Cross multiply
    15,671,209,207,314x = 34,093,814,995,814 × 34,093,814,995,814
  4. Step 4: Simplify right side
    15,671,209,207,314x = 1,162,388,220,968,791,626,410,360,832
  5. Step 5: Solve for x
    x = 1,162,388,220,968,791,626,410,360,832/15,671,209,207,314
  6. Step 6: Final answer
    x = 74,173,486,269,731.30

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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.