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Finding the Third Proportional to 47,169,360 and 102,646,080

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Solution

The third proportional to 47,169,360 and 102,646,080 is: 223,369,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169,360 : 102,646,080 = 102,646,080 : x
  2. Step 2: Convert to fraction form
    47,169,360/102,646,080 = 102,646,080/x
  3. Step 3: Cross multiply
    47,169,360x = 102,646,080 × 102,646,080
  4. Step 4: Simplify right side
    47,169,360x = 10,536,217,739,366,400
  5. Step 5: Solve for x
    x = 10,536,217,739,366,400/47,169,360
  6. Step 6: Final answer
    x = 223,369,953.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.