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Finding the Third Proportional to 689,613,952.50 and 1,033,409,623.50

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Solution

The third proportional to 689,613,952.50 and 1,033,409,623.50 is: 1,548,598,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,613,952.50 : 1,033,409,623.50 = 1,033,409,623.50 : x
  2. Step 2: Convert to fraction form
    689,613,952.50/1,033,409,623.50 = 1,033,409,623.50/x
  3. Step 3: Cross multiply
    689,613,952.50x = 1,033,409,623.50 × 1,033,409,623.50
  4. Step 4: Simplify right side
    689,613,952.50x = 1,067,935,449,942,411,776
  5. Step 5: Solve for x
    x = 1,067,935,449,942,411,776/689,613,952.50
  6. Step 6: Final answer
    x = 1,548,598,960.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.