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Finding the Third Proportional to 4,838,714.72 and 7,426,004.06

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Solution

The third proportional to 4,838,714.72 and 7,426,004.06 is: 11,396,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838,714.72 : 7,426,004.06 = 7,426,004.06 : x
  2. Step 2: Convert to fraction form
    4,838,714.72/7,426,004.06 = 7,426,004.06/x
  3. Step 3: Cross multiply
    4,838,714.72x = 7,426,004.06 × 7,426,004.06
  4. Step 4: Simplify right side
    4,838,714.72x = 55,145,536,336,266.50
  5. Step 5: Solve for x
    x = 55,145,536,336,266.50/4,838,714.72
  6. Step 6: Final answer
    x = 11,396,732.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.