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Finding the Third Proportional to 712,142,632.50 and 1,518,349,593

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Solution

The third proportional to 712,142,632.50 and 1,518,349,593 is: 3,237,252,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,142,632.50 : 1,518,349,593 = 1,518,349,593 : x
  2. Step 2: Convert to fraction form
    712,142,632.50/1,518,349,593 = 1,518,349,593/x
  3. Step 3: Cross multiply
    712,142,632.50x = 1,518,349,593 × 1,518,349,593
  4. Step 4: Simplify right side
    712,142,632.50x = 2,305,385,486,563,265,536
  5. Step 5: Solve for x
    x = 2,305,385,486,563,265,536/712,142,632.50
  6. Step 6: Final answer
    x = 3,237,252,456.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.