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Finding the Third Proportional to 3,435,617,890,386 and 7,474,427,735,706

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Solution

The third proportional to 3,435,617,890,386 and 7,474,427,735,706 is: 16,261,141,884,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435,617,890,386 : 7,474,427,735,706 = 7,474,427,735,706 : x
  2. Step 2: Convert to fraction form
    3,435,617,890,386/7,474,427,735,706 = 7,474,427,735,706/x
  3. Step 3: Cross multiply
    3,435,617,890,386x = 7,474,427,735,706 × 7,474,427,735,706
  4. Step 4: Simplify right side
    3,435,617,890,386x = 55,867,069,976,291,126,278,094,848
  5. Step 5: Solve for x
    x = 55,867,069,976,291,126,278,094,848/3,435,617,890,386
  6. Step 6: Final answer
    x = 16,261,141,884,441.15

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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.