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Finding the Third Proportional to 10,454,084 and 22,421,504

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Solution

The third proportional to 10,454,084 and 22,421,504 is: 48,088,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454,084 : 22,421,504 = 22,421,504 : x
  2. Step 2: Convert to fraction form
    10,454,084/22,421,504 = 22,421,504/x
  3. Step 3: Cross multiply
    10,454,084x = 22,421,504 × 22,421,504
  4. Step 4: Simplify right side
    10,454,084x = 502,723,841,622,016
  5. Step 5: Solve for x
    x = 502,723,841,622,016/10,454,084
  6. Step 6: Final answer
    x = 48,088,750.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.