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Finding the Third Proportional to 21,075,016,768 and 45,823,213,764

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Solution

The third proportional to 21,075,016,768 and 45,823,213,764 is: 99,632,989,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075,016,768 : 45,823,213,764 = 45,823,213,764 : x
  2. Step 2: Convert to fraction form
    21,075,016,768/45,823,213,764 = 45,823,213,764/x
  3. Step 3: Cross multiply
    21,075,016,768x = 45,823,213,764 × 45,823,213,764
  4. Step 4: Simplify right side
    21,075,016,768x = 2,099,766,919,661,239,140,352
  5. Step 5: Solve for x
    x = 2,099,766,919,661,239,140,352/21,075,016,768
  6. Step 6: Final answer
    x = 99,632,989,277.12

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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.