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Finding the Third Proportional to 917,171,300,172 and 1,367,803,345,908

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Solution

The third proportional to 917,171,300,172 and 1,367,803,345,908 is: 2,039,843,585,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,171,300,172 : 1,367,803,345,908 = 1,367,803,345,908 : x
  2. Step 2: Convert to fraction form
    917,171,300,172/1,367,803,345,908 = 1,367,803,345,908/x
  3. Step 3: Cross multiply
    917,171,300,172x = 1,367,803,345,908 × 1,367,803,345,908
  4. Step 4: Simplify right side
    917,171,300,172x = 1,870,885,993,077,119,771,475,968
  5. Step 5: Solve for x
    x = 1,870,885,993,077,119,771,475,968/917,171,300,172
  6. Step 6: Final answer
    x = 2,039,843,585,081.94

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