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Finding the Third Proportional to 30,281,114 and 66,424,178

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Solution

The third proportional to 30,281,114 and 66,424,178 is: 145,707,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281,114 : 66,424,178 = 66,424,178 : x
  2. Step 2: Convert to fraction form
    30,281,114/66,424,178 = 66,424,178/x
  3. Step 3: Cross multiply
    30,281,114x = 66,424,178 × 66,424,178
  4. Step 4: Simplify right side
    30,281,114x = 4,412,171,422,975,684
  5. Step 5: Solve for x
    x = 4,412,171,422,975,684/30,281,114
  6. Step 6: Final answer
    x = 145,707,037.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.