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Finding the Third Proportional to 36,357,464.25 and 77,753,776.50

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Solution

The third proportional to 36,357,464.25 and 77,753,776.50 is: 166,283,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357,464.25 : 77,753,776.50 = 77,753,776.50 : x
  2. Step 2: Convert to fraction form
    36,357,464.25/77,753,776.50 = 77,753,776.50/x
  3. Step 3: Cross multiply
    36,357,464.25x = 77,753,776.50 × 77,753,776.50
  4. Step 4: Simplify right side
    36,357,464.25x = 6,045,649,760,011,952
  5. Step 5: Solve for x
    x = 6,045,649,760,011,952/36,357,464.25
  6. Step 6: Final answer
    x = 166,283,592.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.