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Finding the Third Proportional to 21,075,016,770 and 45,823,213,768

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Solution

The third proportional to 21,075,016,770 and 45,823,213,768 is: 99,632,989,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075,016,770 : 45,823,213,768 = 45,823,213,768 : x
  2. Step 2: Convert to fraction form
    21,075,016,770/45,823,213,768 = 45,823,213,768/x
  3. Step 3: Cross multiply
    21,075,016,770x = 45,823,213,768 × 45,823,213,768
  4. Step 4: Simplify right side
    21,075,016,770x = 2,099,766,920,027,824,717,824
  5. Step 5: Solve for x
    x = 2,099,766,920,027,824,717,824/21,075,016,770
  6. Step 6: Final answer
    x = 99,632,989,285.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.