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Finding the Third Proportional to 1,691,823,064 and 2,586,361,446

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Solution

The third proportional to 1,691,823,064 and 2,586,361,446 is: 3,953,880,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,823,064 : 2,586,361,446 = 2,586,361,446 : x
  2. Step 2: Convert to fraction form
    1,691,823,064/2,586,361,446 = 2,586,361,446/x
  3. Step 3: Cross multiply
    1,691,823,064x = 2,586,361,446 × 2,586,361,446
  4. Step 4: Simplify right side
    1,691,823,064x = 6,689,265,529,355,210,752
  5. Step 5: Solve for x
    x = 6,689,265,529,355,210,752/1,691,823,064
  6. Step 6: Final answer
    x = 3,953,880,090.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.