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Finding the Third Proportional to 584,363,556,014 and 1,256,671,817,767

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Solution

The third proportional to 584,363,556,014 and 1,256,671,817,767 is: 2,702,468,422,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,363,556,014 : 1,256,671,817,767 = 1,256,671,817,767 : x
  2. Step 2: Convert to fraction form
    584,363,556,014/1,256,671,817,767 = 1,256,671,817,767/x
  3. Step 3: Cross multiply
    584,363,556,014x = 1,256,671,817,767 × 1,256,671,817,767
  4. Step 4: Simplify right side
    584,363,556,014x = 1,579,224,057,569,816,053,022,720
  5. Step 5: Solve for x
    x = 1,579,224,057,569,816,053,022,720/584,363,556,014
  6. Step 6: Final answer
    x = 2,702,468,422,811.74

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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.