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Finding the Third Proportional to 5,675,400,254 and 13,260,295,841

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Solution

The third proportional to 5,675,400,254 and 13,260,295,841 is: 30,982,034,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,400,254 : 13,260,295,841 = 13,260,295,841 : x
  2. Step 2: Convert to fraction form
    5,675,400,254/13,260,295,841 = 13,260,295,841/x
  3. Step 3: Cross multiply
    5,675,400,254x = 13,260,295,841 × 13,260,295,841
  4. Step 4: Simplify right side
    5,675,400,254x = 175,835,445,790,841,896,960
  5. Step 5: Solve for x
    x = 175,835,445,790,841,896,960/5,675,400,254
  6. Step 6: Final answer
    x = 30,982,034,380.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.