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Finding the Third Proportional to 7,692,921 and 12,181,546.13

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Solution

The third proportional to 7,692,921 and 12,181,546.13 is: 19,289,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,921 : 12,181,546.13 = 12,181,546.13 : x
  2. Step 2: Convert to fraction form
    7,692,921/12,181,546.13 = 12,181,546.13/x
  3. Step 3: Cross multiply
    7,692,921x = 12,181,546.13 × 12,181,546.13
  4. Step 4: Simplify right side
    7,692,921x = 148,390,065,995,502.50
  5. Step 5: Solve for x
    x = 148,390,065,995,502.50/7,692,921
  6. Step 6: Final answer
    x = 19,289,170.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.