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Finding the Third Proportional to 407,438,682.75 and 882,564,903

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Solution

The third proportional to 407,438,682.75 and 882,564,903 is: 1,911,749,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438,682.75 : 882,564,903 = 882,564,903 : x
  2. Step 2: Convert to fraction form
    407,438,682.75/882,564,903 = 882,564,903/x
  3. Step 3: Cross multiply
    407,438,682.75x = 882,564,903 × 882,564,903
  4. Step 4: Simplify right side
    407,438,682.75x = 778,920,808,007,399,424
  5. Step 5: Solve for x
    x = 778,920,808,007,399,424/407,438,682.75
  6. Step 6: Final answer
    x = 1,911,749,769.93

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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.