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Finding the Third Proportional to 1,768,718,538 and 3,785,899,968

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Solution

The third proportional to 1,768,718,538 and 3,785,899,968 is: 8,103,628,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,718,538 : 3,785,899,968 = 3,785,899,968 : x
  2. Step 2: Convert to fraction form
    1,768,718,538/3,785,899,968 = 3,785,899,968/x
  3. Step 3: Cross multiply
    1,768,718,538x = 3,785,899,968 × 3,785,899,968
  4. Step 4: Simplify right side
    1,768,718,538x = 14,333,038,567,702,401,024
  5. Step 5: Solve for x
    x = 14,333,038,567,702,401,024/1,768,718,538
  6. Step 6: Final answer
    x = 8,103,628,847.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.