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Finding the Third Proportional to 9,185,566 and 19,775,168

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Solution

The third proportional to 9,185,566 and 19,775,168 is: 42,573,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185,566 : 19,775,168 = 19,775,168 : x
  2. Step 2: Convert to fraction form
    9,185,566/19,775,168 = 19,775,168/x
  3. Step 3: Cross multiply
    9,185,566x = 19,775,168 × 19,775,168
  4. Step 4: Simplify right side
    9,185,566x = 391,057,269,428,224
  5. Step 5: Solve for x
    x = 391,057,269,428,224/9,185,566
  6. Step 6: Final answer
    x = 42,573,018.30

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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.