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Finding the Third Proportional to 49,583,693 and 107,134,627

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Solution

The third proportional to 49,583,693 and 107,134,627 is: 231,483,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583,693 : 107,134,627 = 107,134,627 : x
  2. Step 2: Convert to fraction form
    49,583,693/107,134,627 = 107,134,627/x
  3. Step 3: Cross multiply
    49,583,693x = 107,134,627 × 107,134,627
  4. Step 4: Simplify right side
    49,583,693x = 11,477,828,302,429,128
  5. Step 5: Solve for x
    x = 11,477,828,302,429,128/49,583,693
  6. Step 6: Final answer
    x = 231,483,933.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.