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Finding the Third Proportional to 584,363,556,021 and 1,256,671,817,781

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Solution

The third proportional to 584,363,556,021 and 1,256,671,817,781 is: 2,702,468,422,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,363,556,021 : 1,256,671,817,781 = 1,256,671,817,781 : x
  2. Step 2: Convert to fraction form
    584,363,556,021/1,256,671,817,781 = 1,256,671,817,781/x
  3. Step 3: Cross multiply
    584,363,556,021x = 1,256,671,817,781 × 1,256,671,817,781
  4. Step 4: Simplify right side
    584,363,556,021x = 1,579,224,057,605,002,841,030,656
  5. Step 5: Solve for x
    x = 1,579,224,057,605,002,841,030,656/584,363,556,021
  6. Step 6: Final answer
    x = 2,702,468,422,839.58

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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.