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Finding the Third Proportional to 3,269,854.41 and 7,637,424.61

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Solution

The third proportional to 3,269,854.41 and 7,637,424.61 is: 17,838,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269,854.41 : 7,637,424.61 = 7,637,424.61 : x
  2. Step 2: Convert to fraction form
    3,269,854.41/7,637,424.61 = 7,637,424.61/x
  3. Step 3: Cross multiply
    3,269,854.41x = 7,637,424.61 × 7,637,424.61
  4. Step 4: Simplify right side
    3,269,854.41x = 58,330,254,663,886.88
  5. Step 5: Solve for x
    x = 58,330,254,663,886.88/3,269,854.41
  6. Step 6: Final answer
    x = 17,838,792.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.