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Finding the Third Proportional to 9,995,903,814 and 14,625,898,737

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Solution

The third proportional to 9,995,903,814 and 14,625,898,737 is: 21,400,457,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995,903,814 : 14,625,898,737 = 14,625,898,737 : x
  2. Step 2: Convert to fraction form
    9,995,903,814/14,625,898,737 = 14,625,898,737/x
  3. Step 3: Cross multiply
    9,995,903,814x = 14,625,898,737 × 14,625,898,737
  4. Step 4: Simplify right side
    9,995,903,814x = 213,916,913,864,978,202,624
  5. Step 5: Solve for x
    x = 213,916,913,864,978,202,624/9,995,903,814
  6. Step 6: Final answer
    x = 21,400,457,411.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.