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Finding the Third Proportional to 259,969,283,875 and 566,090,786,102

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Solution

The third proportional to 259,969,283,875 and 566,090,786,102 is: 1,232,679,389,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,969,283,875 : 566,090,786,102 = 566,090,786,102 : x
  2. Step 2: Convert to fraction form
    259,969,283,875/566,090,786,102 = 566,090,786,102/x
  3. Step 3: Cross multiply
    259,969,283,875x = 566,090,786,102 × 566,090,786,102
  4. Step 4: Simplify right side
    259,969,283,875x = 320,458,778,109,580,316,508,160
  5. Step 5: Solve for x
    x = 320,458,778,109,580,316,508,160/259,969,283,875
  6. Step 6: Final answer
    x = 1,232,679,389,399.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.