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Finding the Third Proportional to 6,746,712.75 and 9,615,418.88

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Solution

The third proportional to 6,746,712.75 and 9,615,418.88 is: 13,703,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,712.75 : 9,615,418.88 = 9,615,418.88 : x
  2. Step 2: Convert to fraction form
    6,746,712.75/9,615,418.88 = 9,615,418.88/x
  3. Step 3: Cross multiply
    6,746,712.75x = 9,615,418.88 × 9,615,418.88
  4. Step 4: Simplify right side
    6,746,712.75x = 92,456,280,141,706.27
  5. Step 5: Solve for x
    x = 92,456,280,141,706.27/6,746,712.75
  6. Step 6: Final answer
    x = 13,703,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.