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Finding the Third Proportional to 300,818,511,679 and 455,096,705,758

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Solution

The third proportional to 300,818,511,679 and 455,096,705,758 is: 688,498,225,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,679 : 455,096,705,758 = 455,096,705,758 : x
  2. Step 2: Convert to fraction form
    300,818,511,679/455,096,705,758 = 455,096,705,758/x
  3. Step 3: Cross multiply
    300,818,511,679x = 455,096,705,758 × 455,096,705,758
  4. Step 4: Simplify right side
    300,818,511,679x = 207,113,011,591,783,628,406,784
  5. Step 5: Solve for x
    x = 207,113,011,591,783,628,406,784/300,818,511,679
  6. Step 6: Final answer
    x = 688,498,225,843.20

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