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Finding the Third Proportional to 535,842,992 and 1,153,791,160

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Solution

The third proportional to 535,842,992 and 1,153,791,160 is: 2,484,373,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842,992 : 1,153,791,160 = 1,153,791,160 : x
  2. Step 2: Convert to fraction form
    535,842,992/1,153,791,160 = 1,153,791,160/x
  3. Step 3: Cross multiply
    535,842,992x = 1,153,791,160 × 1,153,791,160
  4. Step 4: Simplify right side
    535,842,992x = 1,331,234,040,894,145,536
  5. Step 5: Solve for x
    x = 1,331,234,040,894,145,536/535,842,992
  6. Step 6: Final answer
    x = 2,484,373,334.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.