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Finding the Third Proportional to 363,680,320 and 797,771,024

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Solution

The third proportional to 363,680,320 and 797,771,024 is: 1,749,994,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,680,320 : 797,771,024 = 797,771,024 : x
  2. Step 2: Convert to fraction form
    363,680,320/797,771,024 = 797,771,024/x
  3. Step 3: Cross multiply
    363,680,320x = 797,771,024 × 797,771,024
  4. Step 4: Simplify right side
    363,680,320x = 636,438,606,734,008,576
  5. Step 5: Solve for x
    x = 636,438,606,734,008,576/363,680,320
  6. Step 6: Final answer
    x = 1,749,994,629.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.