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Finding the Third Proportional to 32,867,838 and 51,095,893.50

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Solution

The third proportional to 32,867,838 and 51,095,893.50 is: 79,432,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867,838 : 51,095,893.50 = 51,095,893.50 : x
  2. Step 2: Convert to fraction form
    32,867,838/51,095,893.50 = 51,095,893.50/x
  3. Step 3: Cross multiply
    32,867,838x = 51,095,893.50 × 51,095,893.50
  4. Step 4: Simplify right side
    32,867,838x = 2,610,790,332,563,342
  5. Step 5: Solve for x
    x = 2,610,790,332,563,342/32,867,838
  6. Step 6: Final answer
    x = 79,432,980.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.