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Finding the Third Proportional to 662,535,449 and 1,435,487,485

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Solution

The third proportional to 662,535,449 and 1,435,487,485 is: 3,110,209,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,535,449 : 1,435,487,485 = 1,435,487,485 : x
  2. Step 2: Convert to fraction form
    662,535,449/1,435,487,485 = 1,435,487,485/x
  3. Step 3: Cross multiply
    662,535,449x = 1,435,487,485 × 1,435,487,485
  4. Step 4: Simplify right side
    662,535,449x = 2,060,624,319,591,625,216
  5. Step 5: Solve for x
    x = 2,060,624,319,591,625,216/662,535,449
  6. Step 6: Final answer
    x = 3,110,209,910.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.