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Finding the Third Proportional to 72,126,738 and 170,094,874.50

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Solution

The third proportional to 72,126,738 and 170,094,874.50 is: 401,130,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,126,738 : 170,094,874.50 = 170,094,874.50 : x
  2. Step 2: Convert to fraction form
    72,126,738/170,094,874.50 = 170,094,874.50/x
  3. Step 3: Cross multiply
    72,126,738x = 170,094,874.50 × 170,094,874.50
  4. Step 4: Simplify right side
    72,126,738x = 28,932,266,331,170,752
  5. Step 5: Solve for x
    x = 28,932,266,331,170,752/72,126,738
  6. Step 6: Final answer
    x = 401,130,941.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.