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Finding the Third Proportional to 30,942,160 and 67,026,848

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Solution

The third proportional to 30,942,160 and 67,026,848 is: 145,193,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942,160 : 67,026,848 = 67,026,848 : x
  2. Step 2: Convert to fraction form
    30,942,160/67,026,848 = 67,026,848/x
  3. Step 3: Cross multiply
    30,942,160x = 67,026,848 × 67,026,848
  4. Step 4: Simplify right side
    30,942,160x = 4,492,598,352,815,104
  5. Step 5: Solve for x
    x = 4,492,598,352,815,104/30,942,160
  6. Step 6: Final answer
    x = 145,193,430.35

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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.