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Finding the Third Proportional to 10,160,053.50 and 14,483,380.50

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Solution

The third proportional to 10,160,053.50 and 14,483,380.50 is: 20,646,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160,053.50 : 14,483,380.50 = 14,483,380.50 : x
  2. Step 2: Convert to fraction form
    10,160,053.50/14,483,380.50 = 14,483,380.50/x
  3. Step 3: Cross multiply
    10,160,053.50x = 14,483,380.50 × 14,483,380.50
  4. Step 4: Simplify right side
    10,160,053.50x = 209,768,310,707,780.25
  5. Step 5: Solve for x
    x = 209,768,310,707,780.25/10,160,053.50
  6. Step 6: Final answer
    x = 20,646,378.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.