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Finding the Third Proportional to 11,433,394,038 and 24,766,223,814

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Solution

The third proportional to 11,433,394,038 and 24,766,223,814 is: 53,646,873,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433,394,038 : 24,766,223,814 = 24,766,223,814 : x
  2. Step 2: Convert to fraction form
    11,433,394,038/24,766,223,814 = 24,766,223,814/x
  3. Step 3: Cross multiply
    11,433,394,038x = 24,766,223,814 × 24,766,223,814
  4. Step 4: Simplify right side
    11,433,394,038x = 613,365,842,005,140,701,184
  5. Step 5: Solve for x
    x = 613,365,842,005,140,701,184/11,433,394,038
  6. Step 6: Final answer
    x = 53,646,873,357.69

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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.