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Finding the Third Proportional to 460,222,932 and 988,750,232

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Solution

The third proportional to 460,222,932 and 988,750,232 is: 2,124,246,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,222,932 : 988,750,232 = 988,750,232 : x
  2. Step 2: Convert to fraction form
    460,222,932/988,750,232 = 988,750,232/x
  3. Step 3: Cross multiply
    460,222,932x = 988,750,232 × 988,750,232
  4. Step 4: Simplify right side
    460,222,932x = 977,627,021,280,053,760
  5. Step 5: Solve for x
    x = 977,627,021,280,053,760/460,222,932
  6. Step 6: Final answer
    x = 2,124,246,649.40

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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.