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Finding the Third Proportional to 9,479,971 and 14,319,582

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Solution

The third proportional to 9,479,971 and 14,319,582 is: 21,629,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,479,971 : 14,319,582 = 14,319,582 : x
  2. Step 2: Convert to fraction form
    9,479,971/14,319,582 = 14,319,582/x
  3. Step 3: Cross multiply
    9,479,971x = 14,319,582 × 14,319,582
  4. Step 4: Simplify right side
    9,479,971x = 205,050,428,654,724
  5. Step 5: Solve for x
    x = 205,050,428,654,724/9,479,971
  6. Step 6: Final answer
    x = 21,629,858.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.