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Finding the Third Proportional to 10,827,450 and 24,075,660

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Solution

The third proportional to 10,827,450 and 24,075,660 is: 53,534,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,450 : 24,075,660 = 24,075,660 : x
  2. Step 2: Convert to fraction form
    10,827,450/24,075,660 = 24,075,660/x
  3. Step 3: Cross multiply
    10,827,450x = 24,075,660 × 24,075,660
  4. Step 4: Simplify right side
    10,827,450x = 579,637,404,435,600
  5. Step 5: Solve for x
    x = 579,637,404,435,600/10,827,450
  6. Step 6: Final answer
    x = 53,534,064.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.