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Finding the Third Proportional to 832,992,072 and 1,218,825,018

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Solution

The third proportional to 832,992,072 and 1,218,825,018 is: 1,783,371,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,992,072 : 1,218,825,018 = 1,218,825,018 : x
  2. Step 2: Convert to fraction form
    832,992,072/1,218,825,018 = 1,218,825,018/x
  3. Step 3: Cross multiply
    832,992,072x = 1,218,825,018 × 1,218,825,018
  4. Step 4: Simplify right side
    832,992,072x = 1,485,534,424,502,700,288
  5. Step 5: Solve for x
    x = 1,485,534,424,502,700,288/832,992,072
  6. Step 6: Final answer
    x = 1,783,371,624.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.