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Finding the Third Proportional to 282,306,024 and 611,511,696

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Solution

The third proportional to 282,306,024 and 611,511,696 is: 1,324,614,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,306,024 : 611,511,696 = 611,511,696 : x
  2. Step 2: Convert to fraction form
    282,306,024/611,511,696 = 611,511,696/x
  3. Step 3: Cross multiply
    282,306,024x = 611,511,696 × 611,511,696
  4. Step 4: Simplify right side
    282,306,024x = 373,946,554,344,796,416
  5. Step 5: Solve for x
    x = 373,946,554,344,796,416/282,306,024
  6. Step 6: Final answer
    x = 1,324,614,151.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.