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Finding the Third Proportional to 14,946,024 and 32,184,324

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Solution

The third proportional to 14,946,024 and 32,184,324 is: 69,304,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946,024 : 32,184,324 = 32,184,324 : x
  2. Step 2: Convert to fraction form
    14,946,024/32,184,324 = 32,184,324/x
  3. Step 3: Cross multiply
    14,946,024x = 32,184,324 × 32,184,324
  4. Step 4: Simplify right side
    14,946,024x = 1,035,830,711,336,976
  5. Step 5: Solve for x
    x = 1,035,830,711,336,976/14,946,024
  6. Step 6: Final answer
    x = 69,304,767.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.