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Finding the Third Proportional to 7,916,409 and 17,290,332

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Solution

The third proportional to 7,916,409 and 17,290,332 is: 37,764,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916,409 : 17,290,332 = 17,290,332 : x
  2. Step 2: Convert to fraction form
    7,916,409/17,290,332 = 17,290,332/x
  3. Step 3: Cross multiply
    7,916,409x = 17,290,332 × 17,290,332
  4. Step 4: Simplify right side
    7,916,409x = 298,955,580,670,224
  5. Step 5: Solve for x
    x = 298,955,580,670,224/7,916,409
  6. Step 6: Final answer
    x = 37,764,039.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.