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Finding the Third Proportional to 10,242,372 and 15,858,216

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Solution

The third proportional to 10,242,372 and 15,858,216 is: 24,553,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242,372 : 15,858,216 = 15,858,216 : x
  2. Step 2: Convert to fraction form
    10,242,372/15,858,216 = 15,858,216/x
  3. Step 3: Cross multiply
    10,242,372x = 15,858,216 × 15,858,216
  4. Step 4: Simplify right side
    10,242,372x = 251,483,014,702,656
  5. Step 5: Solve for x
    x = 251,483,014,702,656/10,242,372
  6. Step 6: Final answer
    x = 24,553,200.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.