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Finding the Third Proportional to 1,203,013,063.50 and 1,914,230,328

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Solution

The third proportional to 1,203,013,063.50 and 1,914,230,328 is: 3,045,916,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,013,063.50 : 1,914,230,328 = 1,914,230,328 : x
  2. Step 2: Convert to fraction form
    1,203,013,063.50/1,914,230,328 = 1,914,230,328/x
  3. Step 3: Cross multiply
    1,203,013,063.50x = 1,914,230,328 × 1,914,230,328
  4. Step 4: Simplify right side
    1,203,013,063.50x = 3,664,277,748,634,987,520
  5. Step 5: Solve for x
    x = 3,664,277,748,634,987,520/1,203,013,063.50
  6. Step 6: Final answer
    x = 3,045,916,839.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.