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Finding the Third Proportional to 716,891,811.75 and 1,107,174,971.25

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Solution

The third proportional to 716,891,811.75 and 1,107,174,971.25 is: 1,709,932,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,891,811.75 : 1,107,174,971.25 = 1,107,174,971.25 : x
  2. Step 2: Convert to fraction form
    716,891,811.75/1,107,174,971.25 = 1,107,174,971.25/x
  3. Step 3: Cross multiply
    716,891,811.75x = 1,107,174,971.25 × 1,107,174,971.25
  4. Step 4: Simplify right side
    716,891,811.75x = 1,225,836,416,962,438,400
  5. Step 5: Solve for x
    x = 1,225,836,416,962,438,400/716,891,811.75
  6. Step 6: Final answer
    x = 1,709,932,233.67

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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.