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Finding the Third Proportional to 609,545,700 and 1,335,543,500

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Solution

The third proportional to 609,545,700 and 1,335,543,500 is: 2,926,239,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,545,700 : 1,335,543,500 = 1,335,543,500 : x
  2. Step 2: Convert to fraction form
    609,545,700/1,335,543,500 = 1,335,543,500/x
  3. Step 3: Cross multiply
    609,545,700x = 1,335,543,500 × 1,335,543,500
  4. Step 4: Simplify right side
    609,545,700x = 1,783,676,440,392,250,112
  5. Step 5: Solve for x
    x = 1,783,676,440,392,250,112/609,545,700
  6. Step 6: Final answer
    x = 2,926,239,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.