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Finding the Third Proportional to 763,287,019.50 and 1,653,318,732

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Solution

The third proportional to 763,287,019.50 and 1,653,318,732 is: 3,581,172,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,287,019.50 : 1,653,318,732 = 1,653,318,732 : x
  2. Step 2: Convert to fraction form
    763,287,019.50/1,653,318,732 = 1,653,318,732/x
  3. Step 3: Cross multiply
    763,287,019.50x = 1,653,318,732 × 1,653,318,732
  4. Step 4: Simplify right side
    763,287,019.50x = 2,733,462,829,582,087,680
  5. Step 5: Solve for x
    x = 2,733,462,829,582,087,680/763,287,019.50
  6. Step 6: Final answer
    x = 3,581,172,952.96

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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.