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Finding the Third Proportional to 1,492,356,072 and 3,194,352,701

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Solution

The third proportional to 1,492,356,072 and 3,194,352,701 is: 6,837,436,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,356,072 : 3,194,352,701 = 3,194,352,701 : x
  2. Step 2: Convert to fraction form
    1,492,356,072/3,194,352,701 = 3,194,352,701/x
  3. Step 3: Cross multiply
    1,492,356,072x = 3,194,352,701 × 3,194,352,701
  4. Step 4: Simplify right side
    1,492,356,072x = 10,203,889,178,385,995,776
  5. Step 5: Solve for x
    x = 10,203,889,178,385,995,776/1,492,356,072
  6. Step 6: Final answer
    x = 6,837,436,031.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.