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Finding the Third Proportional to 30,977,241,456 and 46,834,662,288

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Solution

The third proportional to 30,977,241,456 and 46,834,662,288 is: 70,809,584,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977,241,456 : 46,834,662,288 = 46,834,662,288 : x
  2. Step 2: Convert to fraction form
    30,977,241,456/46,834,662,288 = 46,834,662,288/x
  3. Step 3: Cross multiply
    30,977,241,456x = 46,834,662,288 × 46,834,662,288
  4. Step 4: Simplify right side
    30,977,241,456x = 2,193,485,591,631,009,415,168
  5. Step 5: Solve for x
    x = 2,193,485,591,631,009,415,168/30,977,241,456
  6. Step 6: Final answer
    x = 70,809,584,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.