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Finding the Third Proportional to 1,466,194,779,558 and 3,156,469,762,825

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Solution

The third proportional to 1,466,194,779,558 and 3,156,469,762,825 is: 6,795,346,363,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,194,779,558 : 3,156,469,762,825 = 3,156,469,762,825 : x
  2. Step 2: Convert to fraction form
    1,466,194,779,558/3,156,469,762,825 = 3,156,469,762,825/x
  3. Step 3: Cross multiply
    1,466,194,779,558x = 3,156,469,762,825 × 3,156,469,762,825
  4. Step 4: Simplify right side
    1,466,194,779,558x = 9,963,301,363,628,512,311,771,136
  5. Step 5: Solve for x
    x = 9,963,301,363,628,512,311,771,136/1,466,194,779,558
  6. Step 6: Final answer
    x = 6,795,346,363,620.29

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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.