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Finding the Third Proportional to 2,658,073.50 and 5,797,225.13

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Solution

The third proportional to 2,658,073.50 and 5,797,225.13 is: 12,643,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,073.50 : 5,797,225.13 = 5,797,225.13 : x
  2. Step 2: Convert to fraction form
    2,658,073.50/5,797,225.13 = 5,797,225.13/x
  3. Step 3: Cross multiply
    2,658,073.50x = 5,797,225.13 × 5,797,225.13
  4. Step 4: Simplify right side
    2,658,073.50x = 33,607,819,149,931.27
  5. Step 5: Solve for x
    x = 33,607,819,149,931.27/2,658,073.50
  6. Step 6: Final answer
    x = 12,643,675.64

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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.