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Finding the Third Proportional to 9,566,080 and 14,526,276

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Solution

The third proportional to 9,566,080 and 14,526,276 is: 22,058,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566,080 : 14,526,276 = 14,526,276 : x
  2. Step 2: Convert to fraction form
    9,566,080/14,526,276 = 14,526,276/x
  3. Step 3: Cross multiply
    9,566,080x = 14,526,276 × 14,526,276
  4. Step 4: Simplify right side
    9,566,080x = 211,012,694,428,176
  5. Step 5: Solve for x
    x = 211,012,694,428,176/9,566,080
  6. Step 6: Final answer
    x = 22,058,428.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.