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Finding the Third Proportional to 3,165,041,124 and 4,652,750,844

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Solution

The third proportional to 3,165,041,124 and 4,652,750,844 is: 6,839,750,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,041,124 : 4,652,750,844 = 4,652,750,844 : x
  2. Step 2: Convert to fraction form
    3,165,041,124/4,652,750,844 = 4,652,750,844/x
  3. Step 3: Cross multiply
    3,165,041,124x = 4,652,750,844 × 4,652,750,844
  4. Step 4: Simplify right side
    3,165,041,124x = 21,648,090,416,342,712,320
  5. Step 5: Solve for x
    x = 21,648,090,416,342,712,320/3,165,041,124
  6. Step 6: Final answer
    x = 6,839,750,122.74

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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.