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Finding the Third Proportional to 57,659,200 and 77,663,024

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Solution

The third proportional to 57,659,200 and 77,663,024 is: 104,606,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,659,200 : 77,663,024 = 77,663,024 : x
  2. Step 2: Convert to fraction form
    57,659,200/77,663,024 = 77,663,024/x
  3. Step 3: Cross multiply
    57,659,200x = 77,663,024 × 77,663,024
  4. Step 4: Simplify right side
    57,659,200x = 6,031,545,296,824,576
  5. Step 5: Solve for x
    x = 6,031,545,296,824,576/57,659,200
  6. Step 6: Final answer
    x = 104,606,815.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.