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Finding the Third Proportional to 363,241,232 and 807,104,032

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Solution

The third proportional to 363,241,232 and 807,104,032 is: 1,793,345,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,241,232 : 807,104,032 = 807,104,032 : x
  2. Step 2: Convert to fraction form
    363,241,232/807,104,032 = 807,104,032/x
  3. Step 3: Cross multiply
    363,241,232x = 807,104,032 × 807,104,032
  4. Step 4: Simplify right side
    363,241,232x = 651,416,918,470,657,024
  5. Step 5: Solve for x
    x = 651,416,918,470,657,024/363,241,232
  6. Step 6: Final answer
    x = 1,793,345,196.20

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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.