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Finding the Third Proportional to 10,144,643.63 and 20,643,580.13

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Solution

The third proportional to 10,144,643.63 and 20,643,580.13 is: 42,008,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144,643.63 : 20,643,580.13 = 20,643,580.13 : x
  2. Step 2: Convert to fraction form
    10,144,643.63/20,643,580.13 = 20,643,580.13/x
  3. Step 3: Cross multiply
    10,144,643.63x = 20,643,580.13 × 20,643,580.13
  4. Step 4: Simplify right side
    10,144,643.63x = 426,157,400,377,295
  5. Step 5: Solve for x
    x = 426,157,400,377,295/10,144,643.63
  6. Step 6: Final answer
    x = 42,008,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.