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Finding the Third Proportional to 7,453,464 and 16,047,288

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Solution

The third proportional to 7,453,464 and 16,047,288 is: 34,549,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453,464 : 16,047,288 = 16,047,288 : x
  2. Step 2: Convert to fraction form
    7,453,464/16,047,288 = 16,047,288/x
  3. Step 3: Cross multiply
    7,453,464x = 16,047,288 × 16,047,288
  4. Step 4: Simplify right side
    7,453,464x = 257,515,452,154,944
  5. Step 5: Solve for x
    x = 257,515,452,154,944/7,453,464
  6. Step 6: Final answer
    x = 34,549,768.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.