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Finding the Third Proportional to 7,769,518 and 16,918,398

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Solution

The third proportional to 7,769,518 and 16,918,398 is: 36,840,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,518 : 16,918,398 = 16,918,398 : x
  2. Step 2: Convert to fraction form
    7,769,518/16,918,398 = 16,918,398/x
  3. Step 3: Cross multiply
    7,769,518x = 16,918,398 × 16,918,398
  4. Step 4: Simplify right side
    7,769,518x = 286,232,190,886,404
  5. Step 5: Solve for x
    x = 286,232,190,886,404/7,769,518
  6. Step 6: Final answer
    x = 36,840,405.14

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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.