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Finding the Third Proportional to 6,283,517,334 and 9,370,786,075

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Solution

The third proportional to 6,283,517,334 and 9,370,786,075 is: 13,974,916,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,334 : 9,370,786,075 = 9,370,786,075 : x
  2. Step 2: Convert to fraction form
    6,283,517,334/9,370,786,075 = 9,370,786,075/x
  3. Step 3: Cross multiply
    6,283,517,334x = 9,370,786,075 × 9,370,786,075
  4. Step 4: Simplify right side
    6,283,517,334x = 87,811,631,663,413,903,360
  5. Step 5: Solve for x
    x = 87,811,631,663,413,903,360/6,283,517,334
  6. Step 6: Final answer
    x = 13,974,916,753.75

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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.