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Finding the Third Proportional to 631,391,936,514 and 1,473,298,763,685

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Solution

The third proportional to 631,391,936,514 and 1,473,298,763,685 is: 3,437,815,913,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,391,936,514 : 1,473,298,763,685 = 1,473,298,763,685 : x
  2. Step 2: Convert to fraction form
    631,391,936,514/1,473,298,763,685 = 1,473,298,763,685/x
  3. Step 3: Cross multiply
    631,391,936,514x = 1,473,298,763,685 × 1,473,298,763,685
  4. Step 4: Simplify right side
    631,391,936,514x = 2,170,609,247,075,749,387,567,104
  5. Step 5: Solve for x
    x = 2,170,609,247,075,749,387,567,104/631,391,936,514
  6. Step 6: Final answer
    x = 3,437,815,913,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.