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Finding the Third Proportional to 3,457,401,113 and 7,439,180,947

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Solution

The third proportional to 3,457,401,113 and 7,439,180,947 is: 16,006,651,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457,401,113 : 7,439,180,947 = 7,439,180,947 : x
  2. Step 2: Convert to fraction form
    3,457,401,113/7,439,180,947 = 7,439,180,947/x
  3. Step 3: Cross multiply
    3,457,401,113x = 7,439,180,947 × 7,439,180,947
  4. Step 4: Simplify right side
    3,457,401,113x = 55,341,413,162,207,813,632
  5. Step 5: Solve for x
    x = 55,341,413,162,207,813,632/3,457,401,113
  6. Step 6: Final answer
    x = 16,006,651,051.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.