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Finding the Third Proportional to 218,180,952 and 484,792,128

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Solution

The third proportional to 218,180,952 and 484,792,128 is: 1,077,194,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180,952 : 484,792,128 = 484,792,128 : x
  2. Step 2: Convert to fraction form
    218,180,952/484,792,128 = 484,792,128/x
  3. Step 3: Cross multiply
    218,180,952x = 484,792,128 × 484,792,128
  4. Step 4: Simplify right side
    218,180,952x = 235,023,407,370,768,384
  5. Step 5: Solve for x
    x = 235,023,407,370,768,384/218,180,952
  6. Step 6: Final answer
    x = 1,077,194,893.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.