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Finding the Third Proportional to 21,075,016,767 and 45,823,213,758

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Solution

The third proportional to 21,075,016,767 and 45,823,213,758 is: 99,632,989,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075,016,767 : 45,823,213,758 = 45,823,213,758 : x
  2. Step 2: Convert to fraction form
    21,075,016,767/45,823,213,758 = 45,823,213,758/x
  3. Step 3: Cross multiply
    21,075,016,767x = 45,823,213,758 × 45,823,213,758
  4. Step 4: Simplify right side
    21,075,016,767x = 2,099,766,919,111,360,380,928
  5. Step 5: Solve for x
    x = 2,099,766,919,111,360,380,928/21,075,016,767
  6. Step 6: Final answer
    x = 99,632,989,255.75

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