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Finding the Third Proportional to 1,654,576,778 and 3,545,200,309

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Solution

The third proportional to 1,654,576,778 and 3,545,200,309 is: 7,596,169,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,576,778 : 3,545,200,309 = 3,545,200,309 : x
  2. Step 2: Convert to fraction form
    1,654,576,778/3,545,200,309 = 3,545,200,309/x
  3. Step 3: Cross multiply
    1,654,576,778x = 3,545,200,309 × 3,545,200,309
  4. Step 4: Simplify right side
    1,654,576,778x = 12,568,445,230,933,694,464
  5. Step 5: Solve for x
    x = 12,568,445,230,933,694,464/1,654,576,778
  6. Step 6: Final answer
    x = 7,596,169,242.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.