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Finding the Third Proportional to 1,905,568,788 and 4,127,710,631

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Solution

The third proportional to 1,905,568,788 and 4,127,710,631 is: 8,941,159,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,568,788 : 4,127,710,631 = 4,127,710,631 : x
  2. Step 2: Convert to fraction form
    1,905,568,788/4,127,710,631 = 4,127,710,631/x
  3. Step 3: Cross multiply
    1,905,568,788x = 4,127,710,631 × 4,127,710,631
  4. Step 4: Simplify right side
    1,905,568,788x = 17,037,995,053,270,417,408
  5. Step 5: Solve for x
    x = 17,037,995,053,270,417,408/1,905,568,788
  6. Step 6: Final answer
    x = 8,941,159,805.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.