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Finding the Third Proportional to 584,363,556,018 and 1,256,671,817,775

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Solution

The third proportional to 584,363,556,018 and 1,256,671,817,775 is: 2,702,468,422,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,363,556,018 : 1,256,671,817,775 = 1,256,671,817,775 : x
  2. Step 2: Convert to fraction form
    584,363,556,018/1,256,671,817,775 = 1,256,671,817,775/x
  3. Step 3: Cross multiply
    584,363,556,018x = 1,256,671,817,775 × 1,256,671,817,775
  4. Step 4: Simplify right side
    584,363,556,018x = 1,579,224,057,589,922,673,983,488
  5. Step 5: Solve for x
    x = 1,579,224,057,589,922,673,983,488/584,363,556,018
  6. Step 6: Final answer
    x = 2,702,468,422,827.65

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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.