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Finding the Third Proportional to 45,673,836 and 106,575,882

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Solution

The third proportional to 45,673,836 and 106,575,882 is: 248,685,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673,836 : 106,575,882 = 106,575,882 : x
  2. Step 2: Convert to fraction form
    45,673,836/106,575,882 = 106,575,882/x
  3. Step 3: Cross multiply
    45,673,836x = 106,575,882 × 106,575,882
  4. Step 4: Simplify right side
    45,673,836x = 11,358,418,624,077,924
  5. Step 5: Solve for x
    x = 11,358,418,624,077,924/45,673,836
  6. Step 6: Final answer
    x = 248,685,453.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.