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Finding the Third Proportional to 466,462,366 and 1,079,888,971

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Solution

The third proportional to 466,462,366 and 1,079,888,971 is: 2,500,009,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462,366 : 1,079,888,971 = 1,079,888,971 : x
  2. Step 2: Convert to fraction form
    466,462,366/1,079,888,971 = 1,079,888,971/x
  3. Step 3: Cross multiply
    466,462,366x = 1,079,888,971 × 1,079,888,971
  4. Step 4: Simplify right side
    466,462,366x = 1,166,160,189,687,438,848
  5. Step 5: Solve for x
    x = 1,166,160,189,687,438,848/466,462,366
  6. Step 6: Final answer
    x = 2,500,009,164.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.