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Finding the Third Proportional to 47,706,708 and 104,785,536

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Solution

The third proportional to 47,706,708 and 104,785,536 is: 230,156,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706,708 : 104,785,536 = 104,785,536 : x
  2. Step 2: Convert to fraction form
    47,706,708/104,785,536 = 104,785,536/x
  3. Step 3: Cross multiply
    47,706,708x = 104,785,536 × 104,785,536
  4. Step 4: Simplify right side
    47,706,708x = 10,980,008,554,807,296
  5. Step 5: Solve for x
    x = 10,980,008,554,807,296/47,706,708
  6. Step 6: Final answer
    x = 230,156,491.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.