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Finding the Third Proportional to 7,294,232 and 16,884,840

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Solution

The third proportional to 7,294,232 and 16,884,840 is: 39,085,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,232 : 16,884,840 = 16,884,840 : x
  2. Step 2: Convert to fraction form
    7,294,232/16,884,840 = 16,884,840/x
  3. Step 3: Cross multiply
    7,294,232x = 16,884,840 × 16,884,840
  4. Step 4: Simplify right side
    7,294,232x = 285,097,821,825,600
  5. Step 5: Solve for x
    x = 285,097,821,825,600/7,294,232
  6. Step 6: Final answer
    x = 39,085,378.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.