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Finding the Third Proportional to 21,856,072 and 32,075,496

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Solution

The third proportional to 21,856,072 and 32,075,496 is: 47,073,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856,072 : 32,075,496 = 32,075,496 : x
  2. Step 2: Convert to fraction form
    21,856,072/32,075,496 = 32,075,496/x
  3. Step 3: Cross multiply
    21,856,072x = 32,075,496 × 32,075,496
  4. Step 4: Simplify right side
    21,856,072x = 1,028,837,443,646,016
  5. Step 5: Solve for x
    x = 1,028,837,443,646,016/21,856,072
  6. Step 6: Final answer
    x = 47,073,300.44

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Why These Related Problems?

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