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Finding the Third Proportional to 468,011,650 and 1,014,115,076

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Solution

The third proportional to 468,011,650 and 1,014,115,076 is: 2,197,443,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,011,650 : 1,014,115,076 = 1,014,115,076 : x
  2. Step 2: Convert to fraction form
    468,011,650/1,014,115,076 = 1,014,115,076/x
  3. Step 3: Cross multiply
    468,011,650x = 1,014,115,076 × 1,014,115,076
  4. Step 4: Simplify right side
    468,011,650x = 1,028,429,387,370,485,760
  5. Step 5: Solve for x
    x = 1,028,429,387,370,485,760/468,011,650
  6. Step 6: Final answer
    x = 2,197,443,989.63

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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.