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Finding the Third Proportional to 5,780,734 and 12,705,853

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Solution

The third proportional to 5,780,734 and 12,705,853 is: 27,927,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,734 : 12,705,853 = 12,705,853 : x
  2. Step 2: Convert to fraction form
    5,780,734/12,705,853 = 12,705,853/x
  3. Step 3: Cross multiply
    5,780,734x = 12,705,853 × 12,705,853
  4. Step 4: Simplify right side
    5,780,734x = 161,438,700,457,609
  5. Step 5: Solve for x
    x = 161,438,700,457,609/5,780,734
  6. Step 6: Final answer
    x = 27,927,024.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.