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Finding the Third Proportional to 5,223,447 and 7,985,263.50

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Solution

The third proportional to 5,223,447 and 7,985,263.50 is: 12,207,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,447 : 7,985,263.50 = 7,985,263.50 : x
  2. Step 2: Convert to fraction form
    5,223,447/7,985,263.50 = 7,985,263.50/x
  3. Step 3: Cross multiply
    5,223,447x = 7,985,263.50 × 7,985,263.50
  4. Step 4: Simplify right side
    5,223,447x = 63,764,433,164,432.25
  5. Step 5: Solve for x
    x = 63,764,433,164,432.25/5,223,447
  6. Step 6: Final answer
    x = 12,207,347.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.