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Finding the Third Proportional to 47,498,464 and 103,742,008

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Solution

The third proportional to 47,498,464 and 103,742,008 is: 226,584,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498,464 : 103,742,008 = 103,742,008 : x
  2. Step 2: Convert to fraction form
    47,498,464/103,742,008 = 103,742,008/x
  3. Step 3: Cross multiply
    47,498,464x = 103,742,008 × 103,742,008
  4. Step 4: Simplify right side
    47,498,464x = 10,762,404,223,872,064
  5. Step 5: Solve for x
    x = 10,762,404,223,872,064/47,498,464
  6. Step 6: Final answer
    x = 226,584,258.05

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