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Finding the Third Proportional to 468,011,643 and 1,014,115,062

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Solution

The third proportional to 468,011,643 and 1,014,115,062 is: 2,197,443,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,011,643 : 1,014,115,062 = 1,014,115,062 : x
  2. Step 2: Convert to fraction form
    468,011,643/1,014,115,062 = 1,014,115,062/x
  3. Step 3: Cross multiply
    468,011,643x = 1,014,115,062 × 1,014,115,062
  4. Step 4: Simplify right side
    468,011,643x = 1,028,429,358,975,263,872
  5. Step 5: Solve for x
    x = 1,028,429,358,975,263,872/468,011,643
  6. Step 6: Final answer
    x = 2,197,443,961.83

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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.