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Finding the Third Proportional to 286,512,117 and 618,771,738

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Solution

The third proportional to 286,512,117 and 618,771,738 is: 1,336,343,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,512,117 : 618,771,738 = 618,771,738 : x
  2. Step 2: Convert to fraction form
    286,512,117/618,771,738 = 618,771,738/x
  3. Step 3: Cross multiply
    286,512,117x = 618,771,738 × 618,771,738
  4. Step 4: Simplify right side
    286,512,117x = 382,878,463,747,540,672
  5. Step 5: Solve for x
    x = 382,878,463,747,540,672/286,512,117
  6. Step 6: Final answer
    x = 1,336,343,006.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.