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Finding the Third Proportional to 17,754,273 and 38,205,117

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Solution

The third proportional to 17,754,273 and 38,205,117 is: 82,212,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754,273 : 38,205,117 = 38,205,117 : x
  2. Step 2: Convert to fraction form
    17,754,273/38,205,117 = 38,205,117/x
  3. Step 3: Cross multiply
    17,754,273x = 38,205,117 × 38,205,117
  4. Step 4: Simplify right side
    17,754,273x = 1,459,630,964,983,689
  5. Step 5: Solve for x
    x = 1,459,630,964,983,689/17,754,273
  6. Step 6: Final answer
    x = 82,212,939.10

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Why These Related Problems?

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