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Finding the Third Proportional to 17,643,895.88 and 38,219,017.22

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Solution

The third proportional to 17,643,895.88 and 38,219,017.22 is: 82,787,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643,895.88 : 38,219,017.22 = 38,219,017.22 : x
  2. Step 2: Convert to fraction form
    17,643,895.88/38,219,017.22 = 38,219,017.22/x
  3. Step 3: Cross multiply
    17,643,895.88x = 38,219,017.22 × 38,219,017.22
  4. Step 4: Simplify right side
    17,643,895.88x = 1,460,693,277,167,109
  5. Step 5: Solve for x
    x = 1,460,693,277,167,109/17,643,895.88
  6. Step 6: Final answer
    x = 82,787,457.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.