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Finding the Third Proportional to 566,311,901,544 and 1,213,400,974,680

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Solution

The third proportional to 566,311,901,544 and 1,213,400,974,680 is: 2,599,878,126,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,311,901,544 : 1,213,400,974,680 = 1,213,400,974,680 : x
  2. Step 2: Convert to fraction form
    566,311,901,544/1,213,400,974,680 = 1,213,400,974,680/x
  3. Step 3: Cross multiply
    566,311,901,544x = 1,213,400,974,680 × 1,213,400,974,680
  4. Step 4: Simplify right side
    566,311,901,544x = 1,472,341,925,354,373,969,346,560
  5. Step 5: Solve for x
    x = 1,472,341,925,354,373,969,346,560/566,311,901,544
  6. Step 6: Final answer
    x = 2,599,878,126,064.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.