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Finding the Third Proportional to 7,549,419,250 and 16,550,026,724

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Solution

The third proportional to 7,549,419,250 and 16,550,026,724 is: 36,281,384,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549,419,250 : 16,550,026,724 = 16,550,026,724 : x
  2. Step 2: Convert to fraction form
    7,549,419,250/16,550,026,724 = 16,550,026,724/x
  3. Step 3: Cross multiply
    7,549,419,250x = 16,550,026,724 × 16,550,026,724
  4. Step 4: Simplify right side
    7,549,419,250x = 273,903,384,565,114,175,488
  5. Step 5: Solve for x
    x = 273,903,384,565,114,175,488/7,549,419,250
  6. Step 6: Final answer
    x = 36,281,384,765.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.