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Finding the Third Proportional to 57,529,010 and 123,596,065

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Solution

The third proportional to 57,529,010 and 123,596,065 is: 265,535,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,529,010 : 123,596,065 = 123,596,065 : x
  2. Step 2: Convert to fraction form
    57,529,010/123,596,065 = 123,596,065/x
  3. Step 3: Cross multiply
    57,529,010x = 123,596,065 × 123,596,065
  4. Step 4: Simplify right side
    57,529,010x = 15,275,987,283,484,224
  5. Step 5: Solve for x
    x = 15,275,987,283,484,224/57,529,010
  6. Step 6: Final answer
    x = 265,535,375.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.