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Finding the Third Proportional to 27,849,248 and 40,561,968

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Solution

The third proportional to 27,849,248 and 40,561,968 is: 59,077,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849,248 : 40,561,968 = 40,561,968 : x
  2. Step 2: Convert to fraction form
    27,849,248/40,561,968 = 40,561,968/x
  3. Step 3: Cross multiply
    27,849,248x = 40,561,968 × 40,561,968
  4. Step 4: Simplify right side
    27,849,248x = 1,645,273,248,033,024
  5. Step 5: Solve for x
    x = 1,645,273,248,033,024/27,849,248
  6. Step 6: Final answer
    x = 59,077,833.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.