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Finding the Third Proportional to 703,405,657 and 1,497,786,140

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Solution

The third proportional to 703,405,657 and 1,497,786,140 is: 3,189,288,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,405,657 : 1,497,786,140 = 1,497,786,140 : x
  2. Step 2: Convert to fraction form
    703,405,657/1,497,786,140 = 1,497,786,140/x
  3. Step 3: Cross multiply
    703,405,657x = 1,497,786,140 × 1,497,786,140
  4. Step 4: Simplify right side
    703,405,657x = 2,243,363,321,176,099,584
  5. Step 5: Solve for x
    x = 2,243,363,321,176,099,584/703,405,657
  6. Step 6: Final answer
    x = 3,189,288,142.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.