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Finding the Third Proportional to 47,498,468 and 103,742,020

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Solution

The third proportional to 47,498,468 and 103,742,020 is: 226,584,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,498,468 : 103,742,020 = 103,742,020 : x
  2. Step 2: Convert to fraction form
    47,498,468/103,742,020 = 103,742,020/x
  3. Step 3: Cross multiply
    47,498,468x = 103,742,020 × 103,742,020
  4. Step 4: Simplify right side
    47,498,468x = 10,762,406,713,680,400
  5. Step 5: Solve for x
    x = 10,762,406,713,680,400/47,498,468
  6. Step 6: Final answer
    x = 226,584,291.39

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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.