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Finding the Third Proportional to 9,549,800 and 20,714,548.50

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Solution

The third proportional to 9,549,800 and 20,714,548.50 is: 44,932,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549,800 : 20,714,548.50 = 20,714,548.50 : x
  2. Step 2: Convert to fraction form
    9,549,800/20,714,548.50 = 20,714,548.50/x
  3. Step 3: Cross multiply
    9,549,800x = 20,714,548.50 × 20,714,548.50
  4. Step 4: Simplify right side
    9,549,800x = 429,092,519,558,852.25
  5. Step 5: Solve for x
    x = 429,092,519,558,852.25/9,549,800
  6. Step 6: Final answer
    x = 44,932,094.87

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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.