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Finding the Third Proportional to 65,663,138 and 142,541,140

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Solution

The third proportional to 65,663,138 and 142,541,140 is: 309,427,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,663,138 : 142,541,140 = 142,541,140 : x
  2. Step 2: Convert to fraction form
    65,663,138/142,541,140 = 142,541,140/x
  3. Step 3: Cross multiply
    65,663,138x = 142,541,140 × 142,541,140
  4. Step 4: Simplify right side
    65,663,138x = 20,317,976,592,499,600
  5. Step 5: Solve for x
    x = 20,317,976,592,499,600/65,663,138
  6. Step 6: Final answer
    x = 309,427,438.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.