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Finding the Third Proportional to 7,548,735,056 and 11,257,640,808

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Solution

The third proportional to 7,548,735,056 and 11,257,640,808 is: 16,788,836,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548,735,056 : 11,257,640,808 = 11,257,640,808 : x
  2. Step 2: Convert to fraction form
    7,548,735,056/11,257,640,808 = 11,257,640,808/x
  3. Step 3: Cross multiply
    7,548,735,056x = 11,257,640,808 × 11,257,640,808
  4. Step 4: Simplify right side
    7,548,735,056x = 126,734,476,561,946,886,144
  5. Step 5: Solve for x
    x = 126,734,476,561,946,886,144/7,548,735,056
  6. Step 6: Final answer
    x = 16,788,836,225.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.