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Finding the Third Proportional to 2,307,314,874,470 and 3,391,855,221,003

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Solution

The third proportional to 2,307,314,874,470 and 3,391,855,221,003 is: 4,986,177,642,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,314,874,470 : 3,391,855,221,003 = 3,391,855,221,003 : x
  2. Step 2: Convert to fraction form
    2,307,314,874,470/3,391,855,221,003 = 3,391,855,221,003/x
  3. Step 3: Cross multiply
    2,307,314,874,470x = 3,391,855,221,003 × 3,391,855,221,003
  4. Step 4: Simplify right side
    2,307,314,874,470x = 11,504,681,840,245,310,641,668,096
  5. Step 5: Solve for x
    x = 11,504,681,840,245,310,641,668,096/2,307,314,874,470
  6. Step 6: Final answer
    x = 4,986,177,642,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.