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Finding the Third Proportional to 300,818,511,690 and 455,096,705,774

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Solution

The third proportional to 300,818,511,690 and 455,096,705,774 is: 688,498,225,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,690 : 455,096,705,774 = 455,096,705,774 : x
  2. Step 2: Convert to fraction form
    300,818,511,690/455,096,705,774 = 455,096,705,774/x
  3. Step 3: Cross multiply
    300,818,511,690x = 455,096,705,774 × 455,096,705,774
  4. Step 4: Simplify right side
    300,818,511,690x = 207,113,011,606,346,721,656,832
  5. Step 5: Solve for x
    x = 207,113,011,606,346,721,656,832/300,818,511,690
  6. Step 6: Final answer
    x = 688,498,225,866.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.