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Finding the Third Proportional to 442,036,986 and 962,495,661

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Solution

The third proportional to 442,036,986 and 962,495,661 is: 2,095,747,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,036,986 : 962,495,661 = 962,495,661 : x
  2. Step 2: Convert to fraction form
    442,036,986/962,495,661 = 962,495,661/x
  3. Step 3: Cross multiply
    442,036,986x = 962,495,661 × 962,495,661
  4. Step 4: Simplify right side
    442,036,986x = 926,397,897,443,826,944
  5. Step 5: Solve for x
    x = 926,397,897,443,826,944/442,036,986
  6. Step 6: Final answer
    x = 2,095,747,475.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.