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Finding the Third Proportional to 9,031,176 and 12,874,101.75

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Solution

The third proportional to 9,031,176 and 12,874,101.75 is: 18,352,260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031,176 : 12,874,101.75 = 12,874,101.75 : x
  2. Step 2: Convert to fraction form
    9,031,176/12,874,101.75 = 12,874,101.75/x
  3. Step 3: Cross multiply
    9,031,176x = 12,874,101.75 × 12,874,101.75
  4. Step 4: Simplify right side
    9,031,176x = 165,742,495,869,353.06
  5. Step 5: Solve for x
    x = 165,742,495,869,353.06/9,031,176
  6. Step 6: Final answer
    x = 18,352,260.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.