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Finding the Third Proportional to 51,762,528 and 81,193,104

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Solution

The third proportional to 51,762,528 and 81,193,104 is: 127,356,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762,528 : 81,193,104 = 81,193,104 : x
  2. Step 2: Convert to fraction form
    51,762,528/81,193,104 = 81,193,104/x
  3. Step 3: Cross multiply
    51,762,528x = 81,193,104 × 81,193,104
  4. Step 4: Simplify right side
    51,762,528x = 6,592,320,137,154,816
  5. Step 5: Solve for x
    x = 6,592,320,137,154,816/51,762,528
  6. Step 6: Final answer
    x = 127,356,997.27

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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.