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Finding the Third Proportional to 9,201,519 and 19,354,924.69

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Solution

The third proportional to 9,201,519 and 19,354,924.69 is: 40,712,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,519 : 19,354,924.69 = 19,354,924.69 : x
  2. Step 2: Convert to fraction form
    9,201,519/19,354,924.69 = 19,354,924.69/x
  3. Step 3: Cross multiply
    9,201,519x = 19,354,924.69 × 19,354,924.69
  4. Step 4: Simplify right side
    9,201,519x = 374,613,109,658,797
  5. Step 5: Solve for x
    x = 374,613,109,658,797/9,201,519
  6. Step 6: Final answer
    x = 40,712,094.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.