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Finding the Third Proportional to 215,173,859,378 and 470,881,757,186

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Solution

The third proportional to 215,173,859,378 and 470,881,757,186 is: 1,030,467,315,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,173,859,378 : 470,881,757,186 = 470,881,757,186 : x
  2. Step 2: Convert to fraction form
    215,173,859,378/470,881,757,186 = 470,881,757,186/x
  3. Step 3: Cross multiply
    215,173,859,378x = 470,881,757,186 × 470,881,757,186
  4. Step 4: Simplify right side
    215,173,859,378x = 221,729,629,250,575,075,901,440
  5. Step 5: Solve for x
    x = 221,729,629,250,575,075,901,440/215,173,859,378
  6. Step 6: Final answer
    x = 1,030,467,315,553.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.