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Finding the Third Proportional to 30,182,046 and 65,468,134

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Solution

The third proportional to 30,182,046 and 65,468,134 is: 142,007,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182,046 : 65,468,134 = 65,468,134 : x
  2. Step 2: Convert to fraction form
    30,182,046/65,468,134 = 65,468,134/x
  3. Step 3: Cross multiply
    30,182,046x = 65,468,134 × 65,468,134
  4. Step 4: Simplify right side
    30,182,046x = 4,286,076,569,441,956
  5. Step 5: Solve for x
    x = 4,286,076,569,441,956/30,182,046
  6. Step 6: Final answer
    x = 142,007,489.14

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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.