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Finding the Third Proportional to 5,044,798,678 and 11,786,926,465

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Solution

The third proportional to 5,044,798,678 and 11,786,926,465 is: 27,539,579,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044,798,678 : 11,786,926,465 = 11,786,926,465 : x
  2. Step 2: Convert to fraction form
    5,044,798,678/11,786,926,465 = 11,786,926,465/x
  3. Step 3: Cross multiply
    5,044,798,678x = 11,786,926,465 × 11,786,926,465
  4. Step 4: Simplify right side
    5,044,798,678x = 138,931,635,491,317,399,552
  5. Step 5: Solve for x
    x = 138,931,635,491,317,399,552/5,044,798,678
  6. Step 6: Final answer
    x = 27,539,579,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.