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Finding the Third Proportional to 10,145,768 and 21,728,084

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Solution

The third proportional to 10,145,768 and 21,728,084 is: 46,532,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145,768 : 21,728,084 = 21,728,084 : x
  2. Step 2: Convert to fraction form
    10,145,768/21,728,084 = 21,728,084/x
  3. Step 3: Cross multiply
    10,145,768x = 21,728,084 × 21,728,084
  4. Step 4: Simplify right side
    10,145,768x = 472,109,634,311,056
  5. Step 5: Solve for x
    x = 472,109,634,311,056/10,145,768
  6. Step 6: Final answer
    x = 46,532,666.06

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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.