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Finding the Third Proportional to 2,190,433,328,048 and 4,682,314,897,888

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Solution

The third proportional to 2,190,433,328,048 and 4,682,314,897,888 is: 10,009,011,697,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,433,328,048 : 4,682,314,897,888 = 4,682,314,897,888 : x
  2. Step 2: Convert to fraction form
    2,190,433,328,048/4,682,314,897,888 = 4,682,314,897,888/x
  3. Step 3: Cross multiply
    2,190,433,328,048x = 4,682,314,897,888 × 4,682,314,897,888
  4. Step 4: Simplify right side
    2,190,433,328,048x = 21,924,072,802,983,912,440,594,432
  5. Step 5: Solve for x
    x = 21,924,072,802,983,912,440,594,432/2,190,433,328,048
  6. Step 6: Final answer
    x = 10,009,011,697,480.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.