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Finding the Third Proportional to 9,869,298.82 and 22,007,857.89

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Solution

The third proportional to 9,869,298.82 and 22,007,857.89 is: 49,076,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,298.82 : 22,007,857.89 = 22,007,857.89 : x
  2. Step 2: Convert to fraction form
    9,869,298.82/22,007,857.89 = 22,007,857.89/x
  3. Step 3: Cross multiply
    9,869,298.82x = 22,007,857.89 × 22,007,857.89
  4. Step 4: Simplify right side
    9,869,298.82x = 484,345,808,761,975.75
  5. Step 5: Solve for x
    x = 484,345,808,761,975.75/9,869,298.82
  6. Step 6: Final answer
    x = 49,076,010.12

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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.