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Finding the Third Proportional to 2,307,314,876,328 and 3,391,855,223,468

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Solution

The third proportional to 2,307,314,876,328 and 3,391,855,223,468 is: 4,986,177,645,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,314,876,328 : 3,391,855,223,468 = 3,391,855,223,468 : x
  2. Step 2: Convert to fraction form
    2,307,314,876,328/3,391,855,223,468 = 3,391,855,223,468/x
  3. Step 3: Cross multiply
    2,307,314,876,328x = 3,391,855,223,468 × 3,391,855,223,468
  4. Step 4: Simplify right side
    2,307,314,876,328x = 11,504,681,856,967,155,923,288,064
  5. Step 5: Solve for x
    x = 11,504,681,856,967,155,923,288,064/2,307,314,876,328
  6. Step 6: Final answer
    x = 4,986,177,645,279.35

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