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Finding the Third Proportional to 3,481,216,104 and 7,513,730,442

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Solution

The third proportional to 3,481,216,104 and 7,513,730,442 is: 16,217,362,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481,216,104 : 7,513,730,442 = 7,513,730,442 : x
  2. Step 2: Convert to fraction form
    3,481,216,104/7,513,730,442 = 7,513,730,442/x
  3. Step 3: Cross multiply
    3,481,216,104x = 7,513,730,442 × 7,513,730,442
  4. Step 4: Simplify right side
    3,481,216,104x = 56,456,145,155,037,511,680
  5. Step 5: Solve for x
    x = 56,456,145,155,037,511,680/3,481,216,104
  6. Step 6: Final answer
    x = 16,217,362,975.59

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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.