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Finding the Third Proportional to 10,288,784.81 and 21,944,039.63

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Solution

The third proportional to 10,288,784.81 and 21,944,039.63 is: 46,802,502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288,784.81 : 21,944,039.63 = 21,944,039.63 : x
  2. Step 2: Convert to fraction form
    10,288,784.81/21,944,039.63 = 21,944,039.63/x
  3. Step 3: Cross multiply
    10,288,784.81x = 21,944,039.63 × 21,944,039.63
  4. Step 4: Simplify right side
    10,288,784.81x = 481,540,875,063,570.12
  5. Step 5: Solve for x
    x = 481,540,875,063,570.12/10,288,784.81
  6. Step 6: Final answer
    x = 46,802,502.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.