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Finding the Third Proportional to 45,671,002 and 74,975,831

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Solution

The third proportional to 45,671,002 and 74,975,831 is: 123,084,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,671,002 : 74,975,831 = 74,975,831 : x
  2. Step 2: Convert to fraction form
    45,671,002/74,975,831 = 74,975,831/x
  3. Step 3: Cross multiply
    45,671,002x = 74,975,831 × 74,975,831
  4. Step 4: Simplify right side
    45,671,002x = 5,621,375,234,140,561
  5. Step 5: Solve for x
    x = 5,621,375,234,140,561/45,671,002
  6. Step 6: Final answer
    x = 123,084,123.14

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.