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Finding the Third Proportional to 8,430,263,399,514 and 11,374,404,756,062

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Solution

The third proportional to 8,430,263,399,514 and 11,374,404,756,062 is: 15,346,742,731,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,263,399,514 : 11,374,404,756,062 = 11,374,404,756,062 : x
  2. Step 2: Convert to fraction form
    8,430,263,399,514/11,374,404,756,062 = 11,374,404,756,062/x
  3. Step 3: Cross multiply
    8,430,263,399,514x = 11,374,404,756,062 × 11,374,404,756,062
  4. Step 4: Simplify right side
    8,430,263,399,514x = 129,377,083,554,725,837,299,253,248
  5. Step 5: Solve for x
    x = 129,377,083,554,725,837,299,253,248/8,430,263,399,514
  6. Step 6: Final answer
    x = 15,346,742,731,927.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.