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Finding the Third Proportional to 842,241,636 and 1,309,292,478

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Solution

The third proportional to 842,241,636 and 1,309,292,478 is: 2,035,338,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,241,636 : 1,309,292,478 = 1,309,292,478 : x
  2. Step 2: Convert to fraction form
    842,241,636/1,309,292,478 = 1,309,292,478/x
  3. Step 3: Cross multiply
    842,241,636x = 1,309,292,478 × 1,309,292,478
  4. Step 4: Simplify right side
    842,241,636x = 1,714,246,792,947,380,480
  5. Step 5: Solve for x
    x = 1,714,246,792,947,380,480/842,241,636
  6. Step 6: Final answer
    x = 2,035,338,458.32

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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.