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Finding the Third Proportional to 1,666,144,813.50 and 3,470,195,457

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Solution

The third proportional to 1,666,144,813.50 and 3,470,195,457 is: 7,227,616,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,144,813.50 : 3,470,195,457 = 3,470,195,457 : x
  2. Step 2: Convert to fraction form
    1,666,144,813.50/3,470,195,457 = 3,470,195,457/x
  3. Step 3: Cross multiply
    1,666,144,813.50x = 3,470,195,457 × 3,470,195,457
  4. Step 4: Simplify right side
    1,666,144,813.50x = 12,042,256,509,783,439,360
  5. Step 5: Solve for x
    x = 12,042,256,509,783,439,360/1,666,144,813.50
  6. Step 6: Final answer
    x = 7,227,616,958.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.