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Finding the Third Proportional to 15,671,209,207,309 and 34,093,814,995,816

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Solution

The third proportional to 15,671,209,207,309 and 34,093,814,995,816 is: 74,173,486,269,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671,209,207,309 : 34,093,814,995,816 = 34,093,814,995,816 : x
  2. Step 2: Convert to fraction form
    15,671,209,207,309/34,093,814,995,816 = 34,093,814,995,816/x
  3. Step 3: Cross multiply
    15,671,209,207,309x = 34,093,814,995,816 × 34,093,814,995,816
  4. Step 4: Simplify right side
    15,671,209,207,309x = 1,162,388,220,968,927,965,852,205,056
  5. Step 5: Solve for x
    x = 1,162,388,220,968,927,965,852,205,056/15,671,209,207,309
  6. Step 6: Final answer
    x = 74,173,486,269,763.66

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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.