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Finding the Third Proportional to 763,287,016.50 and 1,653,318,725.63

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Solution

The third proportional to 763,287,016.50 and 1,653,318,725.63 is: 3,581,172,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,287,016.50 : 1,653,318,725.63 = 1,653,318,725.63 : x
  2. Step 2: Convert to fraction form
    763,287,016.50/1,653,318,725.63 = 1,653,318,725.63/x
  3. Step 3: Cross multiply
    763,287,016.50x = 1,653,318,725.63 × 1,653,318,725.63
  4. Step 4: Simplify right side
    763,287,016.50x = 2,733,462,808,502,274,048
  5. Step 5: Solve for x
    x = 2,733,462,808,502,274,048/763,287,016.50
  6. Step 6: Final answer
    x = 3,581,172,939.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.