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Finding the Third Proportional to 300,818,511,694 and 455,096,705,780

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Solution

The third proportional to 300,818,511,694 and 455,096,705,780 is: 688,498,225,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,694 : 455,096,705,780 = 455,096,705,780 : x
  2. Step 2: Convert to fraction form
    300,818,511,694/455,096,705,780 = 455,096,705,780/x
  3. Step 3: Cross multiply
    300,818,511,694x = 455,096,705,780 × 455,096,705,780
  4. Step 4: Simplify right side
    300,818,511,694x = 207,113,011,611,807,873,236,992
  5. Step 5: Solve for x
    x = 207,113,011,611,807,873,236,992/300,818,511,694
  6. Step 6: Final answer
    x = 688,498,225,875.44

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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.