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Finding the Third Proportional to 1,117,767,700,659 and 2,431,380,119,718

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Solution

The third proportional to 1,117,767,700,659 and 2,431,380,119,718 is: 5,288,763,741,405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,767,700,659 : 2,431,380,119,718 = 2,431,380,119,718 : x
  2. Step 2: Convert to fraction form
    1,117,767,700,659/2,431,380,119,718 = 2,431,380,119,718/x
  3. Step 3: Cross multiply
    1,117,767,700,659x = 2,431,380,119,718 × 2,431,380,119,718
  4. Step 4: Simplify right side
    1,117,767,700,659x = 5,911,609,286,559,915,910,889,472
  5. Step 5: Solve for x
    x = 5,911,609,286,559,915,910,889,472/1,117,767,700,659
  6. Step 6: Final answer
    x = 5,288,763,741,405.86

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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.