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Finding the Third Proportional to 35,094,897 and 75,738,793.50

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Solution

The third proportional to 35,094,897 and 75,738,793.50 is: 163,452,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,094,897 : 75,738,793.50 = 75,738,793.50 : x
  2. Step 2: Convert to fraction form
    35,094,897/75,738,793.50 = 75,738,793.50/x
  3. Step 3: Cross multiply
    35,094,897x = 75,738,793.50 × 75,738,793.50
  4. Step 4: Simplify right side
    35,094,897x = 5,736,364,840,835,642
  5. Step 5: Solve for x
    x = 5,736,364,840,835,642/35,094,897
  6. Step 6: Final answer
    x = 163,452,961.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.