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Finding the Third Proportional to 6,781,998 and 10,242,117

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Solution

The third proportional to 6,781,998 and 10,242,117 is: 15,467,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,998 : 10,242,117 = 10,242,117 : x
  2. Step 2: Convert to fraction form
    6,781,998/10,242,117 = 10,242,117/x
  3. Step 3: Cross multiply
    6,781,998x = 10,242,117 × 10,242,117
  4. Step 4: Simplify right side
    6,781,998x = 104,900,960,641,689
  5. Step 5: Solve for x
    x = 104,900,960,641,689/6,781,998
  6. Step 6: Final answer
    x = 15,467,559.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.