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Finding the Third Proportional to 995,175,405 and 1,473,180,709.50

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Solution

The third proportional to 995,175,405 and 1,473,180,709.50 is: 2,180,782,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    995,175,405 : 1,473,180,709.50 = 1,473,180,709.50 : x
  2. Step 2: Convert to fraction form
    995,175,405/1,473,180,709.50 = 1,473,180,709.50/x
  3. Step 3: Cross multiply
    995,175,405x = 1,473,180,709.50 × 1,473,180,709.50
  4. Step 4: Simplify right side
    995,175,405x = 2,170,261,402,842,923,264
  5. Step 5: Solve for x
    x = 2,170,261,402,842,923,264/995,175,405
  6. Step 6: Final answer
    x = 2,180,782,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.