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Finding the Third Proportional to 6,149,012,186,896.50 and 12,806,974,375,629

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Solution

The third proportional to 6,149,012,186,896.50 and 12,806,974,375,629 is: 26,673,974,237,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,012,186,896.50 : 12,806,974,375,629 = 12,806,974,375,629 : x
  2. Step 2: Convert to fraction form
    6,149,012,186,896.50/12,806,974,375,629 = 12,806,974,375,629/x
  3. Step 3: Cross multiply
    6,149,012,186,896.50x = 12,806,974,375,629 × 12,806,974,375,629
  4. Step 4: Simplify right side
    6,149,012,186,896.50x = 164,018,592,658,017,818,062,618,624
  5. Step 5: Solve for x
    x = 164,018,592,658,017,818,062,618,624/6,149,012,186,896.50
  6. Step 6: Final answer
    x = 26,673,974,237,283.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.