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Finding the Third Proportional to 14,630,240.25 and 32,156,433

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Solution

The third proportional to 14,630,240.25 and 32,156,433 is: 70,678,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630,240.25 : 32,156,433 = 32,156,433 : x
  2. Step 2: Convert to fraction form
    14,630,240.25/32,156,433 = 32,156,433/x
  3. Step 3: Cross multiply
    14,630,240.25x = 32,156,433 × 32,156,433
  4. Step 4: Simplify right side
    14,630,240.25x = 1,034,036,183,283,489
  5. Step 5: Solve for x
    x = 1,034,036,183,283,489/14,630,240.25
  6. Step 6: Final answer
    x = 70,678,004.30

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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.