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Finding the Third Proportional to 584,363,556,099 and 1,256,671,817,926

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Solution

The third proportional to 584,363,556,099 and 1,256,671,817,926 is: 2,702,468,423,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,363,556,099 : 1,256,671,817,926 = 1,256,671,817,926 : x
  2. Step 2: Convert to fraction form
    584,363,556,099/1,256,671,817,926 = 1,256,671,817,926/x
  3. Step 3: Cross multiply
    584,363,556,099x = 1,256,671,817,926 × 1,256,671,817,926
  4. Step 4: Simplify right side
    584,363,556,099x = 1,579,224,057,969,437,795,418,112
  5. Step 5: Solve for x
    x = 1,579,224,057,969,437,795,418,112/584,363,556,099
  6. Step 6: Final answer
    x = 2,702,468,423,102.51

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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.