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Finding the Third Proportional to 72,514,077,160 and 156,048,118,176

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Solution

The third proportional to 72,514,077,160 and 156,048,118,176 is: 335,810,867,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,514,077,160 : 156,048,118,176 = 156,048,118,176 : x
  2. Step 2: Convert to fraction form
    72,514,077,160/156,048,118,176 = 156,048,118,176/x
  3. Step 3: Cross multiply
    72,514,077,160x = 156,048,118,176 × 156,048,118,176
  4. Step 4: Simplify right side
    72,514,077,160x = 24,351,015,186,270,861,131,776
  5. Step 5: Solve for x
    x = 24,351,015,186,270,861,131,776/72,514,077,160
  6. Step 6: Final answer
    x = 335,810,867,902.81

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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.