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Finding the Third Proportional to 5,152,599 and 6,997,746

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Solution

The third proportional to 5,152,599 and 6,997,746 is: 9,503,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,599 : 6,997,746 = 6,997,746 : x
  2. Step 2: Convert to fraction form
    5,152,599/6,997,746 = 6,997,746/x
  3. Step 3: Cross multiply
    5,152,599x = 6,997,746 × 6,997,746
  4. Step 4: Simplify right side
    5,152,599x = 48,968,449,080,516
  5. Step 5: Solve for x
    x = 48,968,449,080,516/5,152,599
  6. Step 6: Final answer
    x = 9,503,640.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.