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Finding the Third Proportional to 809,746,382,436.48 and 1,686,514,996,749.30

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Solution

The third proportional to 809,746,382,436.48 and 1,686,514,996,749.30 is: 3,512,621,847,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,746,382,436.48 : 1,686,514,996,749.30 = 1,686,514,996,749.30 : x
  2. Step 2: Convert to fraction form
    809,746,382,436.48/1,686,514,996,749.30 = 1,686,514,996,749.30/x
  3. Step 3: Cross multiply
    809,746,382,436.48x = 1,686,514,996,749.30 × 1,686,514,996,749.30
  4. Step 4: Simplify right side
    809,746,382,436.48x = 2,844,332,834,260,291,696,984,064
  5. Step 5: Solve for x
    x = 2,844,332,834,260,291,696,984,064/809,746,382,436.48
  6. Step 6: Final answer
    x = 3,512,621,847,969.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.