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Finding the Third Proportional to 1,802,409,019,566 and 3,819,707,270,364

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Solution

The third proportional to 1,802,409,019,566 and 3,819,707,270,364 is: 8,094,812,816,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802,409,019,566 : 3,819,707,270,364 = 3,819,707,270,364 : x
  2. Step 2: Convert to fraction form
    1,802,409,019,566/3,819,707,270,364 = 3,819,707,270,364/x
  3. Step 3: Cross multiply
    1,802,409,019,566x = 3,819,707,270,364 × 3,819,707,270,364
  4. Step 4: Simplify right side
    1,802,409,019,566x = 14,590,163,631,271,600,365,502,464
  5. Step 5: Solve for x
    x = 14,590,163,631,271,600,365,502,464/1,802,409,019,566
  6. Step 6: Final answer
    x = 8,094,812,816,008.18

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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.