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Finding the Third Proportional to 19,658,944 and 30,771,576

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Solution

The third proportional to 19,658,944 and 30,771,576 is: 48,165,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658,944 : 30,771,576 = 30,771,576 : x
  2. Step 2: Convert to fraction form
    19,658,944/30,771,576 = 30,771,576/x
  3. Step 3: Cross multiply
    19,658,944x = 30,771,576 × 30,771,576
  4. Step 4: Simplify right side
    19,658,944x = 946,889,889,523,776
  5. Step 5: Solve for x
    x = 946,889,889,523,776/19,658,944
  6. Step 6: Final answer
    x = 48,165,857.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.