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Finding the Third Proportional to 66,111,588 and 142,846,164

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Solution

The third proportional to 66,111,588 and 142,846,164 is: 308,645,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111,588 : 142,846,164 = 142,846,164 : x
  2. Step 2: Convert to fraction form
    66,111,588/142,846,164 = 142,846,164/x
  3. Step 3: Cross multiply
    66,111,588x = 142,846,164 × 142,846,164
  4. Step 4: Simplify right side
    66,111,588x = 20,405,026,569,514,896
  5. Step 5: Solve for x
    x = 20,405,026,569,514,896/66,111,588
  6. Step 6: Final answer
    x = 308,645,234.32

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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.