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Finding the Third Proportional to 9,094,170 and 13,735,671.75

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Solution

The third proportional to 9,094,170 and 13,735,671.75 is: 20,746,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094,170 : 13,735,671.75 = 13,735,671.75 : x
  2. Step 2: Convert to fraction form
    9,094,170/13,735,671.75 = 13,735,671.75/x
  3. Step 3: Cross multiply
    9,094,170x = 13,735,671.75 × 13,735,671.75
  4. Step 4: Simplify right side
    9,094,170x = 188,668,678,423,748.06
  5. Step 5: Solve for x
    x = 188,668,678,423,748.06/9,094,170
  6. Step 6: Final answer
    x = 20,746,113.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.