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Finding the Third Proportional to 4,958,830.13 and 7,662,649.78

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Solution

The third proportional to 4,958,830.13 and 7,662,649.78 is: 11,840,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958,830.13 : 7,662,649.78 = 7,662,649.78 : x
  2. Step 2: Convert to fraction form
    4,958,830.13/7,662,649.78 = 7,662,649.78/x
  3. Step 3: Cross multiply
    4,958,830.13x = 7,662,649.78 × 7,662,649.78
  4. Step 4: Simplify right side
    4,958,830.13x = 58,716,201,670,090.67
  5. Step 5: Solve for x
    x = 58,716,201,670,090.67/4,958,830.13
  6. Step 6: Final answer
    x = 11,840,736.66

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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.