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Finding the Third Proportional to 883,619,642 and 1,317,766,815

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Solution

The third proportional to 883,619,642 and 1,317,766,815 is: 1,965,222,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,619,642 : 1,317,766,815 = 1,317,766,815 : x
  2. Step 2: Convert to fraction form
    883,619,642/1,317,766,815 = 1,317,766,815/x
  3. Step 3: Cross multiply
    883,619,642x = 1,317,766,815 × 1,317,766,815
  4. Step 4: Simplify right side
    883,619,642x = 1,736,509,378,715,244,288
  5. Step 5: Solve for x
    x = 1,736,509,378,715,244,288/883,619,642
  6. Step 6: Final answer
    x = 1,965,222,700.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.