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Finding the Third Proportional to 486,420,388,132 and 1,046,045,372,063

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Solution

The third proportional to 486,420,388,132 and 1,046,045,372,063 is: 2,249,516,975,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,420,388,132 : 1,046,045,372,063 = 1,046,045,372,063 : x
  2. Step 2: Convert to fraction form
    486,420,388,132/1,046,045,372,063 = 1,046,045,372,063/x
  3. Step 3: Cross multiply
    486,420,388,132x = 1,046,045,372,063 × 1,046,045,372,063
  4. Step 4: Simplify right side
    486,420,388,132x = 1,094,210,920,414,420,167,294,976
  5. Step 5: Solve for x
    x = 1,094,210,920,414,420,167,294,976/486,420,388,132
  6. Step 6: Final answer
    x = 2,249,516,975,668.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.