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Finding the Third Proportional to 319,071,451.50 and 694,047,510

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Solution

The third proportional to 319,071,451.50 and 694,047,510 is: 1,509,699,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,071,451.50 : 694,047,510 = 694,047,510 : x
  2. Step 2: Convert to fraction form
    319,071,451.50/694,047,510 = 694,047,510/x
  3. Step 3: Cross multiply
    319,071,451.50x = 694,047,510 × 694,047,510
  4. Step 4: Simplify right side
    319,071,451.50x = 481,701,946,137,200,128
  5. Step 5: Solve for x
    x = 481,701,946,137,200,128/319,071,451.50
  6. Step 6: Final answer
    x = 1,509,699,297.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.