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Finding the Third Proportional to 9,549,829.13 and 20,714,605.88

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Solution

The third proportional to 9,549,829.13 and 20,714,605.88 is: 44,932,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549,829.13 : 20,714,605.88 = 20,714,605.88 : x
  2. Step 2: Convert to fraction form
    9,549,829.13/20,714,605.88 = 20,714,605.88/x
  3. Step 3: Cross multiply
    9,549,829.13x = 20,714,605.88 × 20,714,605.88
  4. Step 4: Simplify right side
    9,549,829.13x = 429,094,896,556,584.50
  5. Step 5: Solve for x
    x = 429,094,896,556,584.50/9,549,829.13
  6. Step 6: Final answer
    x = 44,932,206.74

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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.