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Finding the Third Proportional to 11,808,918,930 and 26,024,871,674

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Solution

The third proportional to 11,808,918,930 and 26,024,871,674 is: 57,354,441,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808,918,930 : 26,024,871,674 = 26,024,871,674 : x
  2. Step 2: Convert to fraction form
    11,808,918,930/26,024,871,674 = 26,024,871,674/x
  3. Step 3: Cross multiply
    11,808,918,930x = 26,024,871,674 × 26,024,871,674
  4. Step 4: Simplify right side
    11,808,918,930x = 677,293,945,648,167,518,208
  5. Step 5: Solve for x
    x = 677,293,945,648,167,518,208/11,808,918,930
  6. Step 6: Final answer
    x = 57,354,441,135.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.