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Finding the Third Proportional to 163,635,804 and 363,594,240

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Solution

The third proportional to 163,635,804 and 363,594,240 is: 807,896,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,635,804 : 363,594,240 = 363,594,240 : x
  2. Step 2: Convert to fraction form
    163,635,804/363,594,240 = 363,594,240/x
  3. Step 3: Cross multiply
    163,635,804x = 363,594,240 × 363,594,240
  4. Step 4: Simplify right side
    163,635,804x = 132,200,771,361,177,600
  5. Step 5: Solve for x
    x = 132,200,771,361,177,600/163,635,804
  6. Step 6: Final answer
    x = 807,896,365.77

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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.