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Finding the Third Proportional to 5,790,649.50 and 12,478,792.50

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Solution

The third proportional to 5,790,649.50 and 12,478,792.50 is: 26,891,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,649.50 : 12,478,792.50 = 12,478,792.50 : x
  2. Step 2: Convert to fraction form
    5,790,649.50/12,478,792.50 = 12,478,792.50/x
  3. Step 3: Cross multiply
    5,790,649.50x = 12,478,792.50 × 12,478,792.50
  4. Step 4: Simplify right side
    5,790,649.50x = 155,720,262,258,056.25
  5. Step 5: Solve for x
    x = 155,720,262,258,056.25/5,790,649.50
  6. Step 6: Final answer
    x = 26,891,674.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.