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Finding the Third Proportional to 854,024,784 and 1,864,647,840

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Solution

The third proportional to 854,024,784 and 1,864,647,840 is: 4,071,206,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,024,784 : 1,864,647,840 = 1,864,647,840 : x
  2. Step 2: Convert to fraction form
    854,024,784/1,864,647,840 = 1,864,647,840/x
  3. Step 3: Cross multiply
    854,024,784x = 1,864,647,840 × 1,864,647,840
  4. Step 4: Simplify right side
    854,024,784x = 3,476,911,567,216,665,600
  5. Step 5: Solve for x
    x = 3,476,911,567,216,665,600/854,024,784
  6. Step 6: Final answer
    x = 4,071,206,869.35

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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.