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Finding the Third Proportional to 300,818,511,688 and 455,096,705,772

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Solution

The third proportional to 300,818,511,688 and 455,096,705,772 is: 688,498,225,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,818,511,688 : 455,096,705,772 = 455,096,705,772 : x
  2. Step 2: Convert to fraction form
    300,818,511,688/455,096,705,772 = 455,096,705,772/x
  3. Step 3: Cross multiply
    300,818,511,688x = 455,096,705,772 × 455,096,705,772
  4. Step 4: Simplify right side
    300,818,511,688x = 207,113,011,604,526,326,611,968
  5. Step 5: Solve for x
    x = 207,113,011,604,526,326,611,968/300,818,511,688
  6. Step 6: Final answer
    x = 688,498,225,864.96

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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.