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Finding the Third Proportional to 917,199,258,611 and 1,995,431,330,385

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Solution

The third proportional to 917,199,258,611 and 1,995,431,330,385 is: 4,341,200,842,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,199,258,611 : 1,995,431,330,385 = 1,995,431,330,385 : x
  2. Step 2: Convert to fraction form
    917,199,258,611/1,995,431,330,385 = 1,995,431,330,385/x
  3. Step 3: Cross multiply
    917,199,258,611x = 1,995,431,330,385 × 1,995,431,330,385
  4. Step 4: Simplify right side
    917,199,258,611x = 3,981,746,194,282,050,939,256,832
  5. Step 5: Solve for x
    x = 3,981,746,194,282,050,939,256,832/917,199,258,611
  6. Step 6: Final answer
    x = 4,341,200,842,564.98

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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.