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Finding the Third Proportional to 1,827,600,467 and 2,825,237,319

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Solution

The third proportional to 1,827,600,467 and 2,825,237,319 is: 4,367,456,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,600,467 : 2,825,237,319 = 2,825,237,319 : x
  2. Step 2: Convert to fraction form
    1,827,600,467/2,825,237,319 = 2,825,237,319/x
  3. Step 3: Cross multiply
    1,827,600,467x = 2,825,237,319 × 2,825,237,319
  4. Step 4: Simplify right side
    1,827,600,467x = 7,981,965,908,670,307,328
  5. Step 5: Solve for x
    x = 7,981,965,908,670,307,328/1,827,600,467
  6. Step 6: Final answer
    x = 4,367,456,702.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.