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Finding the Third Proportional to 785,439,668.50 and 1,171,348,261.50

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Solution

The third proportional to 785,439,668.50 and 1,171,348,261.50 is: 1,746,864,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,439,668.50 : 1,171,348,261.50 = 1,171,348,261.50 : x
  2. Step 2: Convert to fraction form
    785,439,668.50/1,171,348,261.50 = 1,171,348,261.50/x
  3. Step 3: Cross multiply
    785,439,668.50x = 1,171,348,261.50 × 1,171,348,261.50
  4. Step 4: Simplify right side
    785,439,668.50x = 1,372,056,749,719,072,256
  5. Step 5: Solve for x
    x = 1,372,056,749,719,072,256/785,439,668.50
  6. Step 6: Final answer
    x = 1,746,864,596.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.