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Finding the Third Proportional to 10,037,884.50 and 21,532,036.50

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Solution

The third proportional to 10,037,884.50 and 21,532,036.50 is: 46,187,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037,884.50 : 21,532,036.50 = 21,532,036.50 : x
  2. Step 2: Convert to fraction form
    10,037,884.50/21,532,036.50 = 21,532,036.50/x
  3. Step 3: Cross multiply
    10,037,884.50x = 21,532,036.50 × 21,532,036.50
  4. Step 4: Simplify right side
    10,037,884.50x = 463,628,595,837,332.25
  5. Step 5: Solve for x
    x = 463,628,595,837,332.25/10,037,884.50
  6. Step 6: Final answer
    x = 46,187,879.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.