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Finding the Third Proportional to 380,966,242 and 826,877,444

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Solution

The third proportional to 380,966,242 and 826,877,444 is: 1,794,716,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,966,242 : 826,877,444 = 826,877,444 : x
  2. Step 2: Convert to fraction form
    380,966,242/826,877,444 = 826,877,444/x
  3. Step 3: Cross multiply
    380,966,242x = 826,877,444 × 826,877,444
  4. Step 4: Simplify right side
    380,966,242x = 683,726,307,395,973,120
  5. Step 5: Solve for x
    x = 683,726,307,395,973,120/380,966,242
  6. Step 6: Final answer
    x = 1,794,716,255.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.