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Finding the Third Proportional to 27,284,312 and 40,916,449

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Solution

The third proportional to 27,284,312 and 40,916,449 is: 61,359,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284,312 : 40,916,449 = 40,916,449 : x
  2. Step 2: Convert to fraction form
    27,284,312/40,916,449 = 40,916,449/x
  3. Step 3: Cross multiply
    27,284,312x = 40,916,449 × 40,916,449
  4. Step 4: Simplify right side
    27,284,312x = 1,674,155,798,769,601
  5. Step 5: Solve for x
    x = 1,674,155,798,769,601/27,284,312
  6. Step 6: Final answer
    x = 61,359,648.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.