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Finding the Third Proportional to 5,252,038,720 and 11,342,648,880

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Solution

The third proportional to 5,252,038,720 and 11,342,648,880 is: 24,496,331,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,038,720 : 11,342,648,880 = 11,342,648,880 : x
  2. Step 2: Convert to fraction form
    5,252,038,720/11,342,648,880 = 11,342,648,880/x
  3. Step 3: Cross multiply
    5,252,038,720x = 11,342,648,880 × 11,342,648,880
  4. Step 4: Simplify right side
    5,252,038,720x = 128,655,683,614,965,252,096
  5. Step 5: Solve for x
    x = 128,655,683,614,965,252,096/5,252,038,720
  6. Step 6: Final answer
    x = 24,496,331,895.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.