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Finding the Third Proportional to 714,493,692 and 1,532,367,495

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Solution

The third proportional to 714,493,692 and 1,532,367,495 is: 3,286,453,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,493,692 : 1,532,367,495 = 1,532,367,495 : x
  2. Step 2: Convert to fraction form
    714,493,692/1,532,367,495 = 1,532,367,495/x
  3. Step 3: Cross multiply
    714,493,692x = 1,532,367,495 × 1,532,367,495
  4. Step 4: Simplify right side
    714,493,692x = 2,348,150,139,732,575,232
  5. Step 5: Solve for x
    x = 2,348,150,139,732,575,232/714,493,692
  6. Step 6: Final answer
    x = 3,286,453,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.