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Finding the Third Proportional to 10,076,964 and 20,576,888

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Solution

The third proportional to 10,076,964 and 20,576,888 is: 42,017,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076,964 : 20,576,888 = 20,576,888 : x
  2. Step 2: Convert to fraction form
    10,076,964/20,576,888 = 20,576,888/x
  3. Step 3: Cross multiply
    10,076,964x = 20,576,888 × 20,576,888
  4. Step 4: Simplify right side
    10,076,964x = 423,408,319,764,544
  5. Step 5: Solve for x
    x = 423,408,319,764,544/10,076,964
  6. Step 6: Final answer
    x = 42,017,448.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.