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Finding the Third Proportional to 4,483,650 and 6,729,985.50

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Solution

The third proportional to 4,483,650 and 6,729,985.50 is: 10,101,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483,650 : 6,729,985.50 = 6,729,985.50 : x
  2. Step 2: Convert to fraction form
    4,483,650/6,729,985.50 = 6,729,985.50/x
  3. Step 3: Cross multiply
    4,483,650x = 6,729,985.50 × 6,729,985.50
  4. Step 4: Simplify right side
    4,483,650x = 45,292,704,830,210.25
  5. Step 5: Solve for x
    x = 45,292,704,830,210.25/4,483,650
  6. Step 6: Final answer
    x = 10,101,748.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.