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Finding the Third Proportional to 9,076,873.50 and 19,665,774

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Solution

The third proportional to 9,076,873.50 and 19,665,774 is: 42,607,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076,873.50 : 19,665,774 = 19,665,774 : x
  2. Step 2: Convert to fraction form
    9,076,873.50/19,665,774 = 19,665,774/x
  3. Step 3: Cross multiply
    9,076,873.50x = 19,665,774 × 19,665,774
  4. Step 4: Simplify right side
    9,076,873.50x = 386,742,667,019,076
  5. Step 5: Solve for x
    x = 386,742,667,019,076/9,076,873.50
  6. Step 6: Final answer
    x = 42,607,475.69

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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.