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Finding the Third Proportional to 1,802,409,019,564 and 3,819,707,270,360

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Solution

The third proportional to 1,802,409,019,564 and 3,819,707,270,360 is: 8,094,812,816,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,409,019,564 : 3,819,707,270,360 = 3,819,707,270,360 : x
  2. Step 2: Convert to fraction form
    1,802,409,019,564/3,819,707,270,360 = 3,819,707,270,360/x
  3. Step 3: Cross multiply
    1,802,409,019,564x = 3,819,707,270,360 × 3,819,707,270,360
  4. Step 4: Simplify right side
    1,802,409,019,564x = 14,590,163,631,241,041,673,191,424
  5. Step 5: Solve for x
    x = 14,590,163,631,241,041,673,191,424/1,802,409,019,564
  6. Step 6: Final answer
    x = 8,094,812,816,000.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.