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Finding the Third Proportional to 482,160,921 and 1,046,518,050

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Solution

The third proportional to 482,160,921 and 1,046,518,050 is: 2,271,440,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,160,921 : 1,046,518,050 = 1,046,518,050 : x
  2. Step 2: Convert to fraction form
    482,160,921/1,046,518,050 = 1,046,518,050/x
  3. Step 3: Cross multiply
    482,160,921x = 1,046,518,050 × 1,046,518,050
  4. Step 4: Simplify right side
    482,160,921x = 1,095,200,028,975,802,496
  5. Step 5: Solve for x
    x = 1,095,200,028,975,802,496/482,160,921
  6. Step 6: Final answer
    x = 2,271,440,884.72

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Why These Related Problems?

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