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Finding the Third Proportional to 53,242,597.69 and 81,787,173.19

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Solution

The third proportional to 53,242,597.69 and 81,787,173.19 is: 125,635,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242,597.69 : 81,787,173.19 = 81,787,173.19 : x
  2. Step 2: Convert to fraction form
    53,242,597.69/81,787,173.19 = 81,787,173.19/x
  3. Step 3: Cross multiply
    53,242,597.69x = 81,787,173.19 × 81,787,173.19
  4. Step 4: Simplify right side
    53,242,597.69x = 6,689,141,698,002,119
  5. Step 5: Solve for x
    x = 6,689,141,698,002,119/53,242,597.69
  6. Step 6: Final answer
    x = 125,635,149.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.