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Finding the Third Proportional to 3,165,041,129 and 4,652,750,851

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Solution

The third proportional to 3,165,041,129 and 4,652,750,851 is: 6,839,750,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,041,129 : 4,652,750,851 = 4,652,750,851 : x
  2. Step 2: Convert to fraction form
    3,165,041,129/4,652,750,851 = 4,652,750,851/x
  3. Step 3: Cross multiply
    3,165,041,129x = 4,652,750,851 × 4,652,750,851
  4. Step 4: Simplify right side
    3,165,041,129x = 21,648,090,481,481,224,192
  5. Step 5: Solve for x
    x = 21,648,090,481,481,224,192/3,165,041,129
  6. Step 6: Final answer
    x = 6,839,750,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.