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Finding the Third Proportional to 9,292,441.50 and 19,930,055.06

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Solution

The third proportional to 9,292,441.50 and 19,930,055.06 is: 42,745,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292,441.50 : 19,930,055.06 = 19,930,055.06 : x
  2. Step 2: Convert to fraction form
    9,292,441.50/19,930,055.06 = 19,930,055.06/x
  3. Step 3: Cross multiply
    9,292,441.50x = 19,930,055.06 × 19,930,055.06
  4. Step 4: Simplify right side
    9,292,441.50x = 397,207,094,794,281.88
  5. Step 5: Solve for x
    x = 397,207,094,794,281.88/9,292,441.50
  6. Step 6: Final answer
    x = 42,745,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.