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Finding the Third Proportional to 51,232,674 and 79,243,047

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Solution

The third proportional to 51,232,674 and 79,243,047 is: 122,567,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,674 : 79,243,047 = 79,243,047 : x
  2. Step 2: Convert to fraction form
    51,232,674/79,243,047 = 79,243,047/x
  3. Step 3: Cross multiply
    51,232,674x = 79,243,047 × 79,243,047
  4. Step 4: Simplify right side
    51,232,674x = 6,279,460,497,844,209
  5. Step 5: Solve for x
    x = 6,279,460,497,844,209/51,232,674
  6. Step 6: Final answer
    x = 122,567,494.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.