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Finding the Third Proportional to 27,849,600 and 42,575,040

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Solution

The third proportional to 27,849,600 and 42,575,040 is: 65,086,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849,600 : 42,575,040 = 42,575,040 : x
  2. Step 2: Convert to fraction form
    27,849,600/42,575,040 = 42,575,040/x
  3. Step 3: Cross multiply
    27,849,600x = 42,575,040 × 42,575,040
  4. Step 4: Simplify right side
    27,849,600x = 1,812,634,031,001,600
  5. Step 5: Solve for x
    x = 1,812,634,031,001,600/27,849,600
  6. Step 6: Final answer
    x = 65,086,537.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.