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Finding the Third Proportional to 346,394,350.97 and 753,771,556.69

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Solution

The third proportional to 346,394,350.97 and 753,771,556.69 is: 1,640,244,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,394,350.97 : 753,771,556.69 = 753,771,556.69 : x
  2. Step 2: Convert to fraction form
    346,394,350.97/753,771,556.69 = 753,771,556.69/x
  3. Step 3: Cross multiply
    346,394,350.97x = 753,771,556.69 × 753,771,556.69
  4. Step 4: Simplify right side
    346,394,350.97x = 568,171,559,671,097,024
  5. Step 5: Solve for x
    x = 568,171,559,671,097,024/346,394,350.97
  6. Step 6: Final answer
    x = 1,640,244,877.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.