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Finding the Third Proportional to 2,148,084,606 and 3,208,897,624.50

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Solution

The third proportional to 2,148,084,606 and 3,208,897,624.50 is: 4,793,583,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148,084,606 : 3,208,897,624.50 = 3,208,897,624.50 : x
  2. Step 2: Convert to fraction form
    2,148,084,606/3,208,897,624.50 = 3,208,897,624.50/x
  3. Step 3: Cross multiply
    2,148,084,606x = 3,208,897,624.50 × 3,208,897,624.50
  4. Step 4: Simplify right side
    2,148,084,606x = 10,297,023,964,521,742,336
  5. Step 5: Solve for x
    x = 10,297,023,964,521,742,336/2,148,084,606
  6. Step 6: Final answer
    x = 4,793,583,984.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.