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Finding the Third Proportional to 9,869,382 and 22,008,037.50

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Solution

The third proportional to 9,869,382 and 22,008,037.50 is: 49,076,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,382 : 22,008,037.50 = 22,008,037.50 : x
  2. Step 2: Convert to fraction form
    9,869,382/22,008,037.50 = 22,008,037.50/x
  3. Step 3: Cross multiply
    9,869,382x = 22,008,037.50 × 22,008,037.50
  4. Step 4: Simplify right side
    9,869,382x = 484,353,714,601,406.25
  5. Step 5: Solve for x
    x = 484,353,714,601,406.25/9,869,382
  6. Step 6: Final answer
    x = 49,076,397.55

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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.