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Finding the Third Proportional to 14,190,129 and 31,127,184

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Solution

The third proportional to 14,190,129 and 31,127,184 is: 68,279,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190,129 : 31,127,184 = 31,127,184 : x
  2. Step 2: Convert to fraction form
    14,190,129/31,127,184 = 31,127,184/x
  3. Step 3: Cross multiply
    14,190,129x = 31,127,184 × 31,127,184
  4. Step 4: Simplify right side
    14,190,129x = 968,901,583,769,856
  5. Step 5: Solve for x
    x = 968,901,583,769,856/14,190,129
  6. Step 6: Final answer
    x = 68,279,970.10

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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.