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Finding the Third Proportional to 15,674,849,812 and 33,843,227,600

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Solution

The third proportional to 15,674,849,812 and 33,843,227,600 is: 73,070,177,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674,849,812 : 33,843,227,600 = 33,843,227,600 : x
  2. Step 2: Convert to fraction form
    15,674,849,812/33,843,227,600 = 33,843,227,600/x
  3. Step 3: Cross multiply
    15,674,849,812x = 33,843,227,600 × 33,843,227,600
  4. Step 4: Simplify right side
    15,674,849,812x = 1,145,364,054,385,401,790,464
  5. Step 5: Solve for x
    x = 1,145,364,054,385,401,790,464/15,674,849,812
  6. Step 6: Final answer
    x = 73,070,177,266.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.