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Finding the Third Proportional to 9,811,253,058 and 14,713,276,118

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Solution

The third proportional to 9,811,253,058 and 14,713,276,118 is: 22,064,510,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811,253,058 : 14,713,276,118 = 14,713,276,118 : x
  2. Step 2: Convert to fraction form
    9,811,253,058/14,713,276,118 = 14,713,276,118/x
  3. Step 3: Cross multiply
    9,811,253,058x = 14,713,276,118 × 14,713,276,118
  4. Step 4: Simplify right side
    9,811,253,058x = 216,480,494,124,509,134,848
  5. Step 5: Solve for x
    x = 216,480,494,124,509,134,848/9,811,253,058
  6. Step 6: Final answer
    x = 22,064,510,296.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.