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Finding the Third Proportional to 692,632,144.13 and 1,073,389,120.31

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Solution

The third proportional to 692,632,144.13 and 1,073,389,120.31 is: 1,663,457,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,632,144.13 : 1,073,389,120.31 = 1,073,389,120.31 : x
  2. Step 2: Convert to fraction form
    692,632,144.13/1,073,389,120.31 = 1,073,389,120.31/x
  3. Step 3: Cross multiply
    692,632,144.13x = 1,073,389,120.31 × 1,073,389,120.31
  4. Step 4: Simplify right side
    692,632,144.13x = 1,152,164,203,605,242,624
  5. Step 5: Solve for x
    x = 1,152,164,203,605,242,624/692,632,144.13
  6. Step 6: Final answer
    x = 1,663,457,599.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.