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Finding the Third Proportional to 1,693,308,901,870 and 2,588,554,752,898

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Solution

The third proportional to 1,693,308,901,870 and 2,588,554,752,898 is: 3,957,113,614,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,308,901,870 : 2,588,554,752,898 = 2,588,554,752,898 : x
  2. Step 2: Convert to fraction form
    1,693,308,901,870/2,588,554,752,898 = 2,588,554,752,898/x
  3. Step 3: Cross multiply
    1,693,308,901,870x = 2,588,554,752,898 × 2,588,554,752,898
  4. Step 4: Simplify right side
    1,693,308,901,870x = 6,700,615,708,750,825,350,234,112
  5. Step 5: Solve for x
    x = 6,700,615,708,750,825,350,234,112/1,693,308,901,870
  6. Step 6: Final answer
    x = 3,957,113,614,267.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.