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Finding the Third Proportional to 14,632,029 and 32,160,051

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Solution

The third proportional to 14,632,029 and 32,160,051 is: 70,685,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632,029 : 32,160,051 = 32,160,051 : x
  2. Step 2: Convert to fraction form
    14,632,029/32,160,051 = 32,160,051/x
  3. Step 3: Cross multiply
    14,632,029x = 32,160,051 × 32,160,051
  4. Step 4: Simplify right side
    14,632,029x = 1,034,268,880,322,601
  5. Step 5: Solve for x
    x = 1,034,268,880,322,601/14,632,029
  6. Step 6: Final answer
    x = 70,685,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.