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Finding the Third Proportional to 306,370,592,872 and 670,454,689,671

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Solution

The third proportional to 306,370,592,872 and 670,454,689,671 is: 1,467,208,346,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,370,592,872 : 670,454,689,671 = 670,454,689,671 : x
  2. Step 2: Convert to fraction form
    306,370,592,872/670,454,689,671 = 670,454,689,671/x
  3. Step 3: Cross multiply
    306,370,592,872x = 670,454,689,671 × 670,454,689,671
  4. Step 4: Simplify right side
    306,370,592,872x = 449,509,490,901,836,892,209,152
  5. Step 5: Solve for x
    x = 449,509,490,901,836,892,209,152/306,370,592,872
  6. Step 6: Final answer
    x = 1,467,208,346,231.98

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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.