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Finding the Third Proportional to 30,802,674 and 47,350,091

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Solution

The third proportional to 30,802,674 and 47,350,091 is: 72,786,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802,674 : 47,350,091 = 47,350,091 : x
  2. Step 2: Convert to fraction form
    30,802,674/47,350,091 = 47,350,091/x
  3. Step 3: Cross multiply
    30,802,674x = 47,350,091 × 47,350,091
  4. Step 4: Simplify right side
    30,802,674x = 2,242,031,117,708,281
  5. Step 5: Solve for x
    x = 2,242,031,117,708,281/30,802,674
  6. Step 6: Final answer
    x = 72,786,898.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.