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Finding the Third Proportional to 6,418,994,661 and 13,977,550,269

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Solution

The third proportional to 6,418,994,661 and 13,977,550,269 is: 30,436,528,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,994,661 : 13,977,550,269 = 13,977,550,269 : x
  2. Step 2: Convert to fraction form
    6,418,994,661/13,977,550,269 = 13,977,550,269/x
  3. Step 3: Cross multiply
    6,418,994,661x = 13,977,550,269 × 13,977,550,269
  4. Step 4: Simplify right side
    6,418,994,661x = 195,371,911,522,421,964,800
  5. Step 5: Solve for x
    x = 195,371,911,522,421,964,800/6,418,994,661
  6. Step 6: Final answer
    x = 30,436,528,123.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.