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Finding the Third Proportional to 3,916,368,125 and 8,452,946,764

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Solution

The third proportional to 3,916,368,125 and 8,452,946,764 is: 18,244,533,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916,368,125 : 8,452,946,764 = 8,452,946,764 : x
  2. Step 2: Convert to fraction form
    3,916,368,125/8,452,946,764 = 8,452,946,764/x
  3. Step 3: Cross multiply
    3,916,368,125x = 8,452,946,764 × 8,452,946,764
  4. Step 4: Simplify right side
    3,916,368,125x = 71,452,308,995,018,072,064
  5. Step 5: Solve for x
    x = 71,452,308,995,018,072,064/3,916,368,125
  6. Step 6: Final answer
    x = 18,244,533,382.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.