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Finding the Third Proportional to 3,435,617,890,398 and 7,474,427,735,730

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Solution

The third proportional to 3,435,617,890,398 and 7,474,427,735,730 is: 16,261,141,884,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,617,890,398 : 7,474,427,735,730 = 7,474,427,735,730 : x
  2. Step 2: Convert to fraction form
    3,435,617,890,398/7,474,427,735,730 = 7,474,427,735,730/x
  3. Step 3: Cross multiply
    3,435,617,890,398x = 7,474,427,735,730 × 7,474,427,735,730
  4. Step 4: Simplify right side
    3,435,617,890,398x = 55,867,069,976,649,893,486,264,320
  5. Step 5: Solve for x
    x = 55,867,069,976,649,893,486,264,320/3,435,617,890,398
  6. Step 6: Final answer
    x = 16,261,141,884,488.78

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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.