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Finding the Third Proportional to 11,668,728,748 and 25,107,235,680

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Solution

The third proportional to 11,668,728,748 and 25,107,235,680 is: 54,022,447,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668,728,748 : 25,107,235,680 = 25,107,235,680 : x
  2. Step 2: Convert to fraction form
    11,668,728,748/25,107,235,680 = 25,107,235,680/x
  3. Step 3: Cross multiply
    11,668,728,748x = 25,107,235,680 × 25,107,235,680
  4. Step 4: Simplify right side
    11,668,728,748x = 630,373,283,491,065,102,336
  5. Step 5: Solve for x
    x = 630,373,283,491,065,102,336/11,668,728,748
  6. Step 6: Final answer
    x = 54,022,447,269.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.