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Finding the Third Proportional to 4,704,724 and 10,206,056

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Solution

The third proportional to 4,704,724 and 10,206,056 is: 22,140,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,724 : 10,206,056 = 10,206,056 : x
  2. Step 2: Convert to fraction form
    4,704,724/10,206,056 = 10,206,056/x
  3. Step 3: Cross multiply
    4,704,724x = 10,206,056 × 10,206,056
  4. Step 4: Simplify right side
    4,704,724x = 104,163,579,075,136
  5. Step 5: Solve for x
    x = 104,163,579,075,136/4,704,724
  6. Step 6: Final answer
    x = 22,140,210.37

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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.