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Finding the Third Proportional to 897,170,265,418 and 1,930,412,968,388

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Solution

The third proportional to 897,170,265,418 and 1,930,412,968,388 is: 4,153,608,709,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,170,265,418 : 1,930,412,968,388 = 1,930,412,968,388 : x
  2. Step 2: Convert to fraction form
    897,170,265,418/1,930,412,968,388 = 1,930,412,968,388/x
  3. Step 3: Cross multiply
    897,170,265,418x = 1,930,412,968,388 × 1,930,412,968,388
  4. Step 4: Simplify right side
    897,170,265,418x = 3,726,494,228,520,569,355,108,352
  5. Step 5: Solve for x
    x = 3,726,494,228,520,569,355,108,352/897,170,265,418
  6. Step 6: Final answer
    x = 4,153,608,709,696.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.