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Finding the Third Proportional to 9,727,356 and 14,920,724

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Solution

The third proportional to 9,727,356 and 14,920,724 is: 22,886,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727,356 : 14,920,724 = 14,920,724 : x
  2. Step 2: Convert to fraction form
    9,727,356/14,920,724 = 14,920,724/x
  3. Step 3: Cross multiply
    9,727,356x = 14,920,724 × 14,920,724
  4. Step 4: Simplify right side
    9,727,356x = 222,628,004,684,176
  5. Step 5: Solve for x
    x = 222,628,004,684,176/9,727,356
  6. Step 6: Final answer
    x = 22,886,795.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.