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Finding the Third Proportional to 12,775,816,465 and 27,955,971,660

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Solution

The third proportional to 12,775,816,465 and 27,955,971,660 is: 61,173,104,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,816,465 : 27,955,971,660 = 27,955,971,660 : x
  2. Step 2: Convert to fraction form
    12,775,816,465/27,955,971,660 = 27,955,971,660/x
  3. Step 3: Cross multiply
    12,775,816,465x = 27,955,971,660 × 27,955,971,660
  4. Step 4: Simplify right side
    12,775,816,465x = 781,536,351,454,723,178,496
  5. Step 5: Solve for x
    x = 781,536,351,454,723,178,496/12,775,816,465
  6. Step 6: Final answer
    x = 61,173,104,168.79

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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.