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Finding the Third Proportional to 9,757,251,741 and 13,164,823,371

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Solution

The third proportional to 9,757,251,741 and 13,164,823,371 is: 17,762,437,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757,251,741 : 13,164,823,371 = 13,164,823,371 : x
  2. Step 2: Convert to fraction form
    9,757,251,741/13,164,823,371 = 13,164,823,371/x
  3. Step 3: Cross multiply
    9,757,251,741x = 13,164,823,371 × 13,164,823,371
  4. Step 4: Simplify right side
    9,757,251,741x = 173,312,574,389,627,813,888
  5. Step 5: Solve for x
    x = 173,312,574,389,627,813,888/9,757,251,741
  6. Step 6: Final answer
    x = 17,762,437,517.25

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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.