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Finding the Third Proportional to 9,274,829.63 and 12,815,827.88

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Solution

The third proportional to 9,274,829.63 and 12,815,827.88 is: 17,708,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274,829.63 : 12,815,827.88 = 12,815,827.88 : x
  2. Step 2: Convert to fraction form
    9,274,829.63/12,815,827.88 = 12,815,827.88/x
  3. Step 3: Cross multiply
    9,274,829.63x = 12,815,827.88 × 12,815,827.88
  4. Step 4: Simplify right side
    9,274,829.63x = 164,245,444,121,627
  5. Step 5: Solve for x
    x = 164,245,444,121,627/9,274,829.63
  6. Step 6: Final answer
    x = 17,708,728.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.