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Finding the Third Proportional to 11,668,728,759.75 and 25,107,235,702.88

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Solution

The third proportional to 11,668,728,759.75 and 25,107,235,702.88 is: 54,022,447,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668,728,759.75 : 25,107,235,702.88 = 25,107,235,702.88 : x
  2. Step 2: Convert to fraction form
    11,668,728,759.75/25,107,235,702.88 = 25,107,235,702.88/x
  3. Step 3: Cross multiply
    11,668,728,759.75x = 25,107,235,702.88 × 25,107,235,702.88
  4. Step 4: Simplify right side
    11,668,728,759.75x = 630,373,284,639,721,127,936
  5. Step 5: Solve for x
    x = 630,373,284,639,721,127,936/11,668,728,759.75
  6. Step 6: Final answer
    x = 54,022,447,313.55

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1.5x scale

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.