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Finding the Third Proportional to 54,931,896 and 76,802,965.50

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Solution

The third proportional to 54,931,896 and 76,802,965.50 is: 107,381,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,931,896 : 76,802,965.50 = 76,802,965.50 : x
  2. Step 2: Convert to fraction form
    54,931,896/76,802,965.50 = 76,802,965.50/x
  3. Step 3: Cross multiply
    54,931,896x = 76,802,965.50 × 76,802,965.50
  4. Step 4: Simplify right side
    54,931,896x = 5,898,695,509,594,190
  5. Step 5: Solve for x
    x = 5,898,695,509,594,190/54,931,896
  6. Step 6: Final answer
    x = 107,381,975.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.