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Finding the Third Proportional to 526,319,126,418 and 1,153,537,077,945

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Solution

The third proportional to 526,319,126,418 and 1,153,537,077,945 is: 2,528,214,771,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,319,126,418 : 1,153,537,077,945 = 1,153,537,077,945 : x
  2. Step 2: Convert to fraction form
    526,319,126,418/1,153,537,077,945 = 1,153,537,077,945/x
  3. Step 3: Cross multiply
    526,319,126,418x = 1,153,537,077,945 × 1,153,537,077,945
  4. Step 4: Simplify right side
    526,319,126,418x = 1,330,647,790,193,888,957,825,024
  5. Step 5: Solve for x
    x = 1,330,647,790,193,888,957,825,024/526,319,126,418
  6. Step 6: Final answer
    x = 2,528,214,771,995.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.