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Finding the Third Proportional to 340,172,596,831 and 728,866,169,322.50

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Solution

The third proportional to 340,172,596,831 and 728,866,169,322.50 is: 1,561,695,144,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172,596,831 : 728,866,169,322.50 = 728,866,169,322.50 : x
  2. Step 2: Convert to fraction form
    340,172,596,831/728,866,169,322.50 = 728,866,169,322.50/x
  3. Step 3: Cross multiply
    340,172,596,831x = 728,866,169,322.50 × 728,866,169,322.50
  4. Step 4: Simplify right side
    340,172,596,831x = 531,245,892,782,855,227,965,440
  5. Step 5: Solve for x
    x = 531,245,892,782,855,227,965,440/340,172,596,831
  6. Step 6: Final answer
    x = 1,561,695,144,558.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.