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Finding the Third Proportional to 30,845,472.75 and 66,511,284.75

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Solution

The third proportional to 30,845,472.75 and 66,511,284.75 is: 143,416,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845,472.75 : 66,511,284.75 = 66,511,284.75 : x
  2. Step 2: Convert to fraction form
    30,845,472.75/66,511,284.75 = 66,511,284.75/x
  3. Step 3: Cross multiply
    30,845,472.75x = 66,511,284.75 × 66,511,284.75
  4. Step 4: Simplify right side
    30,845,472.75x = 4,423,750,999,095,582.50
  5. Step 5: Solve for x
    x = 4,423,750,999,095,582.50/30,845,472.75
  6. Step 6: Final answer
    x = 143,416,540.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.