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Finding the Third Proportional to 546,475,446 and 799,217,871.75

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Solution

The third proportional to 546,475,446 and 799,217,871.75 is: 1,168,852,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475,446 : 799,217,871.75 = 799,217,871.75 : x
  2. Step 2: Convert to fraction form
    546,475,446/799,217,871.75 = 799,217,871.75/x
  3. Step 3: Cross multiply
    546,475,446x = 799,217,871.75 × 799,217,871.75
  4. Step 4: Simplify right side
    546,475,446x = 638,749,206,524,599,424
  5. Step 5: Solve for x
    x = 638,749,206,524,599,424/546,475,446
  6. Step 6: Final answer
    x = 1,168,852,527.96

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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.