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Finding the Third Proportional to 9,976,514,726 and 13,947,754,758

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Solution

The third proportional to 9,976,514,726 and 13,947,754,758 is: 19,499,782,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976,514,726 : 13,947,754,758 = 13,947,754,758 : x
  2. Step 2: Convert to fraction form
    9,976,514,726/13,947,754,758 = 13,947,754,758/x
  3. Step 3: Cross multiply
    9,976,514,726x = 13,947,754,758 × 13,947,754,758
  4. Step 4: Simplify right side
    9,976,514,726x = 194,539,862,789,311,627,264
  5. Step 5: Solve for x
    x = 194,539,862,789,311,627,264/9,976,514,726
  6. Step 6: Final answer
    x = 19,499,782,051.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.