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Finding the Third Proportional to 19,514,500,159 and 26,329,642,386

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Solution

The third proportional to 19,514,500,159 and 26,329,642,386 is: 35,524,869,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514,500,159 : 26,329,642,386 = 26,329,642,386 : x
  2. Step 2: Convert to fraction form
    19,514,500,159/26,329,642,386 = 26,329,642,386/x
  3. Step 3: Cross multiply
    19,514,500,159x = 26,329,642,386 × 26,329,642,386
  4. Step 4: Simplify right side
    19,514,500,159x = 693,250,068,174,647,721,984
  5. Step 5: Solve for x
    x = 693,250,068,174,647,721,984/19,514,500,159
  6. Step 6: Final answer
    x = 35,524,869,329.28

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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.