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Finding the Third Proportional to 30,182,044 and 65,468,130

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Solution

The third proportional to 30,182,044 and 65,468,130 is: 142,007,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182,044 : 65,468,130 = 65,468,130 : x
  2. Step 2: Convert to fraction form
    30,182,044/65,468,130 = 65,468,130/x
  3. Step 3: Cross multiply
    30,182,044x = 65,468,130 × 65,468,130
  4. Step 4: Simplify right side
    30,182,044x = 4,286,076,045,696,900
  5. Step 5: Solve for x
    x = 4,286,076,045,696,900/30,182,044
  6. Step 6: Final answer
    x = 142,007,481.19

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Why These Related Problems?

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