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Finding the Third Proportional to 7,055,580 and 14,958,967.50

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Solution

The third proportional to 7,055,580 and 14,958,967.50 is: 31,715,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055,580 : 14,958,967.50 = 14,958,967.50 : x
  2. Step 2: Convert to fraction form
    7,055,580/14,958,967.50 = 14,958,967.50/x
  3. Step 3: Cross multiply
    7,055,580x = 14,958,967.50 × 14,958,967.50
  4. Step 4: Simplify right side
    7,055,580x = 223,770,708,666,056.25
  5. Step 5: Solve for x
    x = 223,770,708,666,056.25/7,055,580
  6. Step 6: Final answer
    x = 31,715,423.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.