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Finding the Third Proportional to 9,598,301.30 and 13,581,301.64

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Solution

The third proportional to 9,598,301.30 and 13,581,301.64 is: 19,217,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598,301.30 : 13,581,301.64 = 13,581,301.64 : x
  2. Step 2: Convert to fraction form
    9,598,301.30/13,581,301.64 = 13,581,301.64/x
  3. Step 3: Cross multiply
    9,598,301.30x = 13,581,301.64 × 13,581,301.64
  4. Step 4: Simplify right side
    9,598,301.30x = 184,451,754,253,643.31
  5. Step 5: Solve for x
    x = 184,451,754,253,643.31/9,598,301.30
  6. Step 6: Final answer
    x = 19,217,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.