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Finding the Third Proportional to 917,171,300,206 and 1,367,803,345,956

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Solution

The third proportional to 917,171,300,206 and 1,367,803,345,956 is: 2,039,843,585,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,171,300,206 : 1,367,803,345,956 = 1,367,803,345,956 : x
  2. Step 2: Convert to fraction form
    917,171,300,206/1,367,803,345,956 = 1,367,803,345,956/x
  3. Step 3: Cross multiply
    917,171,300,206x = 1,367,803,345,956 × 1,367,803,345,956
  4. Step 4: Simplify right side
    917,171,300,206x = 1,870,885,993,208,429,001,310,208
  5. Step 5: Solve for x
    x = 1,870,885,993,208,429,001,310,208/917,171,300,206
  6. Step 6: Final answer
    x = 2,039,843,585,149.49

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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.