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Finding the Third Proportional to 7,814,971.13 and 12,076,750.69

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Solution

The third proportional to 7,814,971.13 and 12,076,750.69 is: 18,662,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814,971.13 : 12,076,750.69 = 12,076,750.69 : x
  2. Step 2: Convert to fraction form
    7,814,971.13/12,076,750.69 = 12,076,750.69/x
  3. Step 3: Cross multiply
    7,814,971.13x = 12,076,750.69 × 12,076,750.69
  4. Step 4: Simplify right side
    7,814,971.13x = 145,847,907,168,031.72
  5. Step 5: Solve for x
    x = 145,847,907,168,031.72/7,814,971.13
  6. Step 6: Final answer
    x = 18,662,629.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.