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Finding the Third Proportional to 9,476,034.75 and 14,556,348

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Solution

The third proportional to 9,476,034.75 and 14,556,348 is: 22,360,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,034.75 : 14,556,348 = 14,556,348 : x
  2. Step 2: Convert to fraction form
    9,476,034.75/14,556,348 = 14,556,348/x
  3. Step 3: Cross multiply
    9,476,034.75x = 14,556,348 × 14,556,348
  4. Step 4: Simplify right side
    9,476,034.75x = 211,887,267,097,104
  5. Step 5: Solve for x
    x = 211,887,267,097,104/9,476,034.75
  6. Step 6: Final answer
    x = 22,360,330.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.