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Finding the Third Proportional to 9,516,006 and 15,322,171.50

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Solution

The third proportional to 9,516,006 and 15,322,171.50 is: 24,670,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516,006 : 15,322,171.50 = 15,322,171.50 : x
  2. Step 2: Convert to fraction form
    9,516,006/15,322,171.50 = 15,322,171.50/x
  3. Step 3: Cross multiply
    9,516,006x = 15,322,171.50 × 15,322,171.50
  4. Step 4: Simplify right side
    9,516,006x = 234,768,939,475,412.25
  5. Step 5: Solve for x
    x = 234,768,939,475,412.25/9,516,006
  6. Step 6: Final answer
    x = 24,670,953.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.