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Finding the Third Proportional to 10,257,552 and 16,242,588

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Solution

The third proportional to 10,257,552 and 16,242,588 is: 25,719,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,552 : 16,242,588 = 16,242,588 : x
  2. Step 2: Convert to fraction form
    10,257,552/16,242,588 = 16,242,588/x
  3. Step 3: Cross multiply
    10,257,552x = 16,242,588 × 16,242,588
  4. Step 4: Simplify right side
    10,257,552x = 263,821,664,937,744
  5. Step 5: Solve for x
    x = 263,821,664,937,744/10,257,552
  6. Step 6: Final answer
    x = 25,719,749.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.