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Finding the Third Proportional to 3,692,823,984 and 7,797,713,760

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Solution

The third proportional to 3,692,823,984 and 7,797,713,760 is: 16,465,539,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692,823,984 : 7,797,713,760 = 7,797,713,760 : x
  2. Step 2: Convert to fraction form
    3,692,823,984/7,797,713,760 = 7,797,713,760/x
  3. Step 3: Cross multiply
    3,692,823,984x = 7,797,713,760 × 7,797,713,760
  4. Step 4: Simplify right side
    3,692,823,984x = 60,804,339,882,893,336,576
  5. Step 5: Solve for x
    x = 60,804,339,882,893,336,576/3,692,823,984
  6. Step 6: Final answer
    x = 16,465,539,691.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.