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Finding the Third Proportional to 2,766,756,409.03 and 6,024,763,455.75

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Solution

The third proportional to 2,766,756,409.03 and 6,024,763,455.75 is: 13,119,252,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,756,409.03 : 6,024,763,455.75 = 6,024,763,455.75 : x
  2. Step 2: Convert to fraction form
    2,766,756,409.03/6,024,763,455.75 = 6,024,763,455.75/x
  3. Step 3: Cross multiply
    2,766,756,409.03x = 6,024,763,455.75 × 6,024,763,455.75
  4. Step 4: Simplify right side
    2,766,756,409.03x = 36,297,774,697,740,681,216
  5. Step 5: Solve for x
    x = 36,297,774,697,740,681,216/2,766,756,409.03
  6. Step 6: Final answer
    x = 13,119,252,052.42

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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.