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Finding the Third Proportional to 1,241,683,647 and 2,703,816,894

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Solution

The third proportional to 1,241,683,647 and 2,703,816,894 is: 5,887,671,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,683,647 : 2,703,816,894 = 2,703,816,894 : x
  2. Step 2: Convert to fraction form
    1,241,683,647/2,703,816,894 = 2,703,816,894/x
  3. Step 3: Cross multiply
    1,241,683,647x = 2,703,816,894 × 2,703,816,894
  4. Step 4: Simplify right side
    1,241,683,647x = 7,310,625,796,279,806,976
  5. Step 5: Solve for x
    x = 7,310,625,796,279,806,976/1,241,683,647
  6. Step 6: Final answer
    x = 5,887,671,802.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.