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Finding the Third Proportional to 9,869,245 and 22,007,764

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Solution

The third proportional to 9,869,245 and 22,007,764 is: 49,075,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,245 : 22,007,764 = 22,007,764 : x
  2. Step 2: Convert to fraction form
    9,869,245/22,007,764 = 22,007,764/x
  3. Step 3: Cross multiply
    9,869,245x = 22,007,764 × 22,007,764
  4. Step 4: Simplify right side
    9,869,245x = 484,341,676,279,696
  5. Step 5: Solve for x
    x = 484,341,676,279,696/9,869,245
  6. Step 6: Final answer
    x = 49,075,859.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.