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Finding the Third Proportional to 9,886,033,474 and 14,920,986,840

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Solution

The third proportional to 9,886,033,474 and 14,920,986,840 is: 22,520,240,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886,033,474 : 14,920,986,840 = 14,920,986,840 : x
  2. Step 2: Convert to fraction form
    9,886,033,474/14,920,986,840 = 14,920,986,840/x
  3. Step 3: Cross multiply
    9,886,033,474x = 14,920,986,840 × 14,920,986,840
  4. Step 4: Simplify right side
    9,886,033,474x = 222,635,848,279,453,171,712
  5. Step 5: Solve for x
    x = 222,635,848,279,453,171,712/9,886,033,474
  6. Step 6: Final answer
    x = 22,520,240,181.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.