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Finding the Third Proportional to 1,025,593,866 and 2,087,432,883

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Solution

The third proportional to 1,025,593,866 and 2,087,432,883 is: 4,248,636,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,593,866 : 2,087,432,883 = 2,087,432,883 : x
  2. Step 2: Convert to fraction form
    1,025,593,866/2,087,432,883 = 2,087,432,883/x
  3. Step 3: Cross multiply
    1,025,593,866x = 2,087,432,883 × 2,087,432,883
  4. Step 4: Simplify right side
    1,025,593,866x = 4,357,376,041,029,691,904
  5. Step 5: Solve for x
    x = 4,357,376,041,029,691,904/1,025,593,866
  6. Step 6: Final answer
    x = 4,248,636,995.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.