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Finding the Third Proportional to 4,651,386,044 and 7,149,515,266

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Solution

The third proportional to 4,651,386,044 and 7,149,515,266 is: 10,989,319,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,386,044 : 7,149,515,266 = 7,149,515,266 : x
  2. Step 2: Convert to fraction form
    4,651,386,044/7,149,515,266 = 7,149,515,266/x
  3. Step 3: Cross multiply
    4,651,386,044x = 7,149,515,266 × 7,149,515,266
  4. Step 4: Simplify right side
    4,651,386,044x = 51,115,568,538,767,048,704
  5. Step 5: Solve for x
    x = 51,115,568,538,767,048,704/4,651,386,044
  6. Step 6: Final answer
    x = 10,989,319,754.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.