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Finding the Third Proportional to 66,764,816 and 142,347,904

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Solution

The third proportional to 66,764,816 and 142,347,904 is: 303,497,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764,816 : 142,347,904 = 142,347,904 : x
  2. Step 2: Convert to fraction form
    66,764,816/142,347,904 = 142,347,904/x
  3. Step 3: Cross multiply
    66,764,816x = 142,347,904 × 142,347,904
  4. Step 4: Simplify right side
    66,764,816x = 20,262,925,773,193,216
  5. Step 5: Solve for x
    x = 20,262,925,773,193,216/66,764,816
  6. Step 6: Final answer
    x = 303,497,066.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.