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Finding the Third Proportional to 32,781,289,764 and 70,534,465,795.50

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Solution

The third proportional to 32,781,289,764 and 70,534,465,795.50 is: 151,766,782,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,289,764 : 70,534,465,795.50 = 70,534,465,795.50 : x
  2. Step 2: Convert to fraction form
    32,781,289,764/70,534,465,795.50 = 70,534,465,795.50/x
  3. Step 3: Cross multiply
    32,781,289,764x = 70,534,465,795.50 × 70,534,465,795.50
  4. Step 4: Simplify right side
    32,781,289,764x = 4,975,110,865,056,559,005,696
  5. Step 5: Solve for x
    x = 4,975,110,865,056,559,005,696/32,781,289,764
  6. Step 6: Final answer
    x = 151,766,782,236.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.