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Finding the Third Proportional to 482,160,917.25 and 1,046,518,042.50

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Solution

The third proportional to 482,160,917.25 and 1,046,518,042.50 is: 2,271,440,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,160,917.25 : 1,046,518,042.50 = 1,046,518,042.50 : x
  2. Step 2: Convert to fraction form
    482,160,917.25/1,046,518,042.50 = 1,046,518,042.50/x
  3. Step 3: Cross multiply
    482,160,917.25x = 1,046,518,042.50 × 1,046,518,042.50
  4. Step 4: Simplify right side
    482,160,917.25x = 1,095,200,013,278,031,744
  5. Step 5: Solve for x
    x = 1,095,200,013,278,031,744/482,160,917.25
  6. Step 6: Final answer
    x = 2,271,440,869.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.