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Finding the Third Proportional to 66,111,614 and 142,846,216

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Solution

The third proportional to 66,111,614 and 142,846,216 is: 308,645,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111,614 : 142,846,216 = 142,846,216 : x
  2. Step 2: Convert to fraction form
    66,111,614/142,846,216 = 142,846,216/x
  3. Step 3: Cross multiply
    66,111,614x = 142,846,216 × 142,846,216
  4. Step 4: Simplify right side
    66,111,614x = 20,405,041,425,518,656
  5. Step 5: Solve for x
    x = 20,405,041,425,518,656/66,111,614
  6. Step 6: Final answer
    x = 308,645,337.65

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