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Finding the Third Proportional to 382,493,506,752 and 571,632,131,952

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Solution

The third proportional to 382,493,506,752 and 571,632,131,952 is: 854,297,624,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,493,506,752 : 571,632,131,952 = 571,632,131,952 : x
  2. Step 2: Convert to fraction form
    382,493,506,752/571,632,131,952 = 571,632,131,952/x
  3. Step 3: Cross multiply
    382,493,506,752x = 571,632,131,952 × 571,632,131,952
  4. Step 4: Simplify right side
    382,493,506,752x = 326,763,294,279,988,737,474,560
  5. Step 5: Solve for x
    x = 326,763,294,279,988,737,474,560/382,493,506,752
  6. Step 6: Final answer
    x = 854,297,624,696.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.