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Finding the Third Proportional to 346,289,514,633 and 744,694,410,456

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Solution

The third proportional to 346,289,514,633 and 744,694,410,456 is: 1,601,462,768,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,289,514,633 : 744,694,410,456 = 744,694,410,456 : x
  2. Step 2: Convert to fraction form
    346,289,514,633/744,694,410,456 = 744,694,410,456/x
  3. Step 3: Cross multiply
    346,289,514,633x = 744,694,410,456 × 744,694,410,456
  4. Step 4: Simplify right side
    346,289,514,633x = 554,569,764,964,409,406,390,272
  5. Step 5: Solve for x
    x = 554,569,764,964,409,406,390,272/346,289,514,633
  6. Step 6: Final answer
    x = 1,601,462,768,955.47

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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.