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Finding the Third Proportional to 227,421,075 and 489,314,466

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Solution

The third proportional to 227,421,075 and 489,314,466 is: 1,052,798,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,421,075 : 489,314,466 = 489,314,466 : x
  2. Step 2: Convert to fraction form
    227,421,075/489,314,466 = 489,314,466/x
  3. Step 3: Cross multiply
    227,421,075x = 489,314,466 × 489,314,466
  4. Step 4: Simplify right side
    227,421,075x = 239,428,646,636,865,152
  5. Step 5: Solve for x
    x = 239,428,646,636,865,152/227,421,075
  6. Step 6: Final answer
    x = 1,052,798,851.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.