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Finding the Third Proportional to 7,670,430 and 17,043,483.75

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Solution

The third proportional to 7,670,430 and 17,043,483.75 is: 37,870,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,430 : 17,043,483.75 = 17,043,483.75 : x
  2. Step 2: Convert to fraction form
    7,670,430/17,043,483.75 = 17,043,483.75/x
  3. Step 3: Cross multiply
    7,670,430x = 17,043,483.75 × 17,043,483.75
  4. Step 4: Simplify right side
    7,670,430x = 290,480,338,336,514.06
  5. Step 5: Solve for x
    x = 290,480,338,336,514.06/7,670,430
  6. Step 6: Final answer
    x = 37,870,150.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.