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Finding the Third Proportional to 7,973,784.75 and 17,390,886.75

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Solution

The third proportional to 7,973,784.75 and 17,390,886.75 is: 37,929,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973,784.75 : 17,390,886.75 = 17,390,886.75 : x
  2. Step 2: Convert to fraction form
    7,973,784.75/17,390,886.75 = 17,390,886.75/x
  3. Step 3: Cross multiply
    7,973,784.75x = 17,390,886.75 × 17,390,886.75
  4. Step 4: Simplify right side
    7,973,784.75x = 302,442,941,951,325.56
  5. Step 5: Solve for x
    x = 302,442,941,951,325.56/7,973,784.75
  6. Step 6: Final answer
    x = 37,929,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.