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Finding the Third Proportional to 25,426,567.50 and 55,187,695.50

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Solution

The third proportional to 25,426,567.50 and 55,187,695.50 is: 119,783,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,426,567.50 : 55,187,695.50 = 55,187,695.50 : x
  2. Step 2: Convert to fraction form
    25,426,567.50/55,187,695.50 = 55,187,695.50/x
  3. Step 3: Cross multiply
    25,426,567.50x = 55,187,695.50 × 55,187,695.50
  4. Step 4: Simplify right side
    25,426,567.50x = 3,045,681,734,600,720
  5. Step 5: Solve for x
    x = 3,045,681,734,600,720/25,426,567.50
  6. Step 6: Final answer
    x = 119,783,440.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.