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Finding the Third Proportional to 5,348,308.50 and 8,047,886.63

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Solution

The third proportional to 5,348,308.50 and 8,047,886.63 is: 12,110,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348,308.50 : 8,047,886.63 = 8,047,886.63 : x
  2. Step 2: Convert to fraction form
    5,348,308.50/8,047,886.63 = 8,047,886.63/x
  3. Step 3: Cross multiply
    5,348,308.50x = 8,047,886.63 × 8,047,886.63
  4. Step 4: Simplify right side
    5,348,308.50x = 64,768,479,128,853.89
  5. Step 5: Solve for x
    x = 64,768,479,128,853.89/5,348,308.50
  6. Step 6: Final answer
    x = 12,110,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.