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Finding the Third Proportional to 11,011,712,644 and 16,833,562,424

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Solution

The third proportional to 11,011,712,644 and 16,833,562,424 is: 25,733,401,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011,712,644 : 16,833,562,424 = 16,833,562,424 : x
  2. Step 2: Convert to fraction form
    11,011,712,644/16,833,562,424 = 16,833,562,424/x
  3. Step 3: Cross multiply
    11,011,712,644x = 16,833,562,424 × 16,833,562,424
  4. Step 4: Simplify right side
    11,011,712,644x = 283,368,823,882,704,748,544
  5. Step 5: Solve for x
    x = 283,368,823,882,704,748,544/11,011,712,644
  6. Step 6: Final answer
    x = 25,733,401,610.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.