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Finding the Third Proportional to 2,762,782.50 and 5,811,862.50

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Solution

The third proportional to 2,762,782.50 and 5,811,862.50 is: 12,225,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,782.50 : 5,811,862.50 = 5,811,862.50 : x
  2. Step 2: Convert to fraction form
    2,762,782.50/5,811,862.50 = 5,811,862.50/x
  3. Step 3: Cross multiply
    2,762,782.50x = 5,811,862.50 × 5,811,862.50
  4. Step 4: Simplify right side
    2,762,782.50x = 33,777,745,718,906.25
  5. Step 5: Solve for x
    x = 33,777,745,718,906.25/2,762,782.50
  6. Step 6: Final answer
    x = 12,225,988.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.