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Finding the Third Proportional to 9,459,267,900 and 13,303,827,405

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Solution

The third proportional to 9,459,267,900 and 13,303,827,405 is: 18,710,943,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,267,900 : 13,303,827,405 = 13,303,827,405 : x
  2. Step 2: Convert to fraction form
    9,459,267,900/13,303,827,405 = 13,303,827,405/x
  3. Step 3: Cross multiply
    9,459,267,900x = 13,303,827,405 × 13,303,827,405
  4. Step 4: Simplify right side
    9,459,267,900x = 176,991,823,622,029,049,856
  5. Step 5: Solve for x
    x = 176,991,823,622,029,049,856/9,459,267,900
  6. Step 6: Final answer
    x = 18,710,943,118.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.