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Finding the Third Proportional to 13,703,075,416 and 21,804,286,794

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Solution

The third proportional to 13,703,075,416 and 21,804,286,794 is: 34,694,906,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703,075,416 : 21,804,286,794 = 21,804,286,794 : x
  2. Step 2: Convert to fraction form
    13,703,075,416/21,804,286,794 = 21,804,286,794/x
  3. Step 3: Cross multiply
    13,703,075,416x = 21,804,286,794 × 21,804,286,794
  4. Step 4: Simplify right side
    13,703,075,416x = 475,426,922,595,002,810,368
  5. Step 5: Solve for x
    x = 475,426,922,595,002,810,368/13,703,075,416
  6. Step 6: Final answer
    x = 34,694,906,665.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.