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Finding the Third Proportional to 787,348,525.50 and 1,211,886,218.25

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Solution

The third proportional to 787,348,525.50 and 1,211,886,218.25 is: 1,865,334,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,348,525.50 : 1,211,886,218.25 = 1,211,886,218.25 : x
  2. Step 2: Convert to fraction form
    787,348,525.50/1,211,886,218.25 = 1,211,886,218.25/x
  3. Step 3: Cross multiply
    787,348,525.50x = 1,211,886,218.25 × 1,211,886,218.25
  4. Step 4: Simplify right side
    787,348,525.50x = 1,468,668,205,984,286,720
  5. Step 5: Solve for x
    x = 1,468,668,205,984,286,720/787,348,525.50
  6. Step 6: Final answer
    x = 1,865,334,294.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.