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Finding the Third Proportional to 7,710,947 and 16,751,194

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Solution

The third proportional to 7,710,947 and 16,751,194 is: 36,390,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710,947 : 16,751,194 = 16,751,194 : x
  2. Step 2: Convert to fraction form
    7,710,947/16,751,194 = 16,751,194/x
  3. Step 3: Cross multiply
    7,710,947x = 16,751,194 × 16,751,194
  4. Step 4: Simplify right side
    7,710,947x = 280,602,500,425,636
  5. Step 5: Solve for x
    x = 280,602,500,425,636/7,710,947
  6. Step 6: Final answer
    x = 36,390,147.72

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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.