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Finding the Third Proportional to 4,384,648,684 and 10,346,986,100

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Solution

The third proportional to 4,384,648,684 and 10,346,986,100 is: 24,417,035,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,648,684 : 10,346,986,100 = 10,346,986,100 : x
  2. Step 2: Convert to fraction form
    4,384,648,684/10,346,986,100 = 10,346,986,100/x
  3. Step 3: Cross multiply
    4,384,648,684x = 10,346,986,100 × 10,346,986,100
  4. Step 4: Simplify right side
    4,384,648,684x = 107,060,121,353,593,208,832
  5. Step 5: Solve for x
    x = 107,060,121,353,593,208,832/4,384,648,684
  6. Step 6: Final answer
    x = 24,417,035,222.06

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.