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Finding the Third Proportional to 6,152,744.81 and 13,412,597.63

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Solution

The third proportional to 6,152,744.81 and 13,412,597.63 is: 29,238,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152,744.81 : 13,412,597.63 = 13,412,597.63 : x
  2. Step 2: Convert to fraction form
    6,152,744.81/13,412,597.63 = 13,412,597.63/x
  3. Step 3: Cross multiply
    6,152,744.81x = 13,412,597.63 × 13,412,597.63
  4. Step 4: Simplify right side
    6,152,744.81x = 179,897,775,050,155.62
  5. Step 5: Solve for x
    x = 179,897,775,050,155.62/6,152,744.81
  6. Step 6: Final answer
    x = 29,238,621.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.