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Finding the Third Proportional to 38,288,871 and 81,959,827.50

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Solution

The third proportional to 38,288,871 and 81,959,827.50 is: 175,440,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288,871 : 81,959,827.50 = 81,959,827.50 : x
  2. Step 2: Convert to fraction form
    38,288,871/81,959,827.50 = 81,959,827.50/x
  3. Step 3: Cross multiply
    38,288,871x = 81,959,827.50 × 81,959,827.50
  4. Step 4: Simplify right side
    38,288,871x = 6,717,413,323,829,756
  5. Step 5: Solve for x
    x = 6,717,413,323,829,756/38,288,871
  6. Step 6: Final answer
    x = 175,440,360.30

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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.