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Finding the Third Proportional to 346,289,514,640 and 744,694,410,470

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Solution

The third proportional to 346,289,514,640 and 744,694,410,470 is: 1,601,462,768,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,289,514,640 : 744,694,410,470 = 744,694,410,470 : x
  2. Step 2: Convert to fraction form
    346,289,514,640/744,694,410,470 = 744,694,410,470/x
  3. Step 3: Cross multiply
    346,289,514,640x = 744,694,410,470 × 744,694,410,470
  4. Step 4: Simplify right side
    346,289,514,640x = 554,569,764,985,260,868,632,576
  5. Step 5: Solve for x
    x = 554,569,764,985,260,868,632,576/346,289,514,640
  6. Step 6: Final answer
    x = 1,601,462,768,983.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.