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Finding the Third Proportional to 596,814,761,514 and 1,298,197,644,243

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Solution

The third proportional to 596,814,761,514 and 1,298,197,644,243 is: 2,823,852,947,676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,814,761,514 : 1,298,197,644,243 = 1,298,197,644,243 : x
  2. Step 2: Convert to fraction form
    596,814,761,514/1,298,197,644,243 = 1,298,197,644,243/x
  3. Step 3: Cross multiply
    596,814,761,514x = 1,298,197,644,243 × 1,298,197,644,243
  4. Step 4: Simplify right side
    596,814,761,514x = 1,685,317,123,518,074,703,577,088
  5. Step 5: Solve for x
    x = 1,685,317,123,518,074,703,577,088/596,814,761,514
  6. Step 6: Final answer
    x = 2,823,852,947,676.36

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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.