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Finding the Third Proportional to 47,498,460 and 103,742,004

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Solution

The third proportional to 47,498,460 and 103,742,004 is: 226,584,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498,460 : 103,742,004 = 103,742,004 : x
  2. Step 2: Convert to fraction form
    47,498,460/103,742,004 = 103,742,004/x
  3. Step 3: Cross multiply
    47,498,460x = 103,742,004 × 103,742,004
  4. Step 4: Simplify right side
    47,498,460x = 10,762,403,393,936,016
  5. Step 5: Solve for x
    x = 10,762,403,393,936,016/47,498,460
  6. Step 6: Final answer
    x = 226,584,259.66

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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.