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Finding the Third Proportional to 13,605,461,311.50 and 21,124,516,494

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Solution

The third proportional to 13,605,461,311.50 and 21,124,516,494 is: 32,798,975,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605,461,311.50 : 21,124,516,494 = 21,124,516,494 : x
  2. Step 2: Convert to fraction form
    13,605,461,311.50/21,124,516,494 = 21,124,516,494/x
  3. Step 3: Cross multiply
    13,605,461,311.50x = 21,124,516,494 × 21,124,516,494
  4. Step 4: Simplify right side
    13,605,461,311.50x = 446,245,197,105,278,025,728
  5. Step 5: Solve for x
    x = 446,245,197,105,278,025,728/13,605,461,311.50
  6. Step 6: Final answer
    x = 32,798,975,858.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.