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Finding the Third Proportional to 433,053,571 and 1,010,493,233

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Solution

The third proportional to 433,053,571 and 1,010,493,233 is: 2,357,898,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,053,571 : 1,010,493,233 = 1,010,493,233 : x
  2. Step 2: Convert to fraction form
    433,053,571/1,010,493,233 = 1,010,493,233/x
  3. Step 3: Cross multiply
    433,053,571x = 1,010,493,233 × 1,010,493,233
  4. Step 4: Simplify right side
    433,053,571x = 1,021,096,573,938,792,320
  5. Step 5: Solve for x
    x = 1,021,096,573,938,792,320/433,053,571
  6. Step 6: Final answer
    x = 2,357,898,981.37

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.