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Finding the Third Proportional to 936,527,984 and 2,016,898,624

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Solution

The third proportional to 936,527,984 and 2,016,898,624 is: 4,343,575,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,527,984 : 2,016,898,624 = 2,016,898,624 : x
  2. Step 2: Convert to fraction form
    936,527,984/2,016,898,624 = 2,016,898,624/x
  3. Step 3: Cross multiply
    936,527,984x = 2,016,898,624 × 2,016,898,624
  4. Step 4: Simplify right side
    936,527,984x = 4,067,880,059,493,093,376
  5. Step 5: Solve for x
    x = 4,067,880,059,493,093,376/936,527,984
  6. Step 6: Final answer
    x = 4,343,575,556.73

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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.