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Finding the Third Proportional to 5,459,263,770 and 11,788,437,408

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Solution

The third proportional to 5,459,263,770 and 11,788,437,408 is: 25,455,310,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459,263,770 : 11,788,437,408 = 11,788,437,408 : x
  2. Step 2: Convert to fraction form
    5,459,263,770/11,788,437,408 = 11,788,437,408/x
  3. Step 3: Cross multiply
    5,459,263,770x = 11,788,437,408 × 11,788,437,408
  4. Step 4: Simplify right side
    5,459,263,770x = 138,967,256,522,333,765,632
  5. Step 5: Solve for x
    x = 138,967,256,522,333,765,632/5,459,263,770
  6. Step 6: Final answer
    x = 25,455,310,894.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.