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Finding the Third Proportional to 10,916,174,612.50 and 16,330,624,632

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Solution

The third proportional to 10,916,174,612.50 and 16,330,624,632 is: 24,430,655,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,174,612.50 : 16,330,624,632 = 16,330,624,632 : x
  2. Step 2: Convert to fraction form
    10,916,174,612.50/16,330,624,632 = 16,330,624,632/x
  3. Step 3: Cross multiply
    10,916,174,612.50x = 16,330,624,632 × 16,330,624,632
  4. Step 4: Simplify right side
    10,916,174,612.50x = 266,689,300,871,285,145,600
  5. Step 5: Solve for x
    x = 266,689,300,871,285,145,600/10,916,174,612.50
  6. Step 6: Final answer
    x = 24,430,655,457.44

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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.