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Finding the Third Proportional to 9,757,250,082 and 13,164,821,196

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Solution

The third proportional to 9,757,250,082 and 13,164,821,196 is: 17,762,434,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757,250,082 : 13,164,821,196 = 13,164,821,196 : x
  2. Step 2: Convert to fraction form
    9,757,250,082/13,164,821,196 = 13,164,821,196/x
  3. Step 3: Cross multiply
    9,757,250,082x = 13,164,821,196 × 13,164,821,196
  4. Step 4: Simplify right side
    9,757,250,082x = 173,312,517,122,650,865,664
  5. Step 5: Solve for x
    x = 173,312,517,122,650,865,664/9,757,250,082
  6. Step 6: Final answer
    x = 17,762,434,668.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.