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Finding the Third Proportional to 5,001,834 and 7,749,858

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Solution

The third proportional to 5,001,834 and 7,749,858 is: 12,007,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001,834 : 7,749,858 = 7,749,858 : x
  2. Step 2: Convert to fraction form
    5,001,834/7,749,858 = 7,749,858/x
  3. Step 3: Cross multiply
    5,001,834x = 7,749,858 × 7,749,858
  4. Step 4: Simplify right side
    5,001,834x = 60,060,299,020,164
  5. Step 5: Solve for x
    x = 60,060,299,020,164/5,001,834
  6. Step 6: Final answer
    x = 12,007,655.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.