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Finding the Third Proportional to 66,213,693 and 142,546,901

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Solution

The third proportional to 66,213,693 and 142,546,901 is: 306,879,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,213,693 : 142,546,901 = 142,546,901 : x
  2. Step 2: Convert to fraction form
    66,213,693/142,546,901 = 142,546,901/x
  3. Step 3: Cross multiply
    66,213,693x = 142,546,901 × 142,546,901
  4. Step 4: Simplify right side
    66,213,693x = 20,319,618,984,703,800
  5. Step 5: Solve for x
    x = 20,319,618,984,703,800/66,213,693
  6. Step 6: Final answer
    x = 306,879,409.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.