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Finding the Third Proportional to 1,466,194,779,596 and 3,156,469,762,892

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Solution

The third proportional to 1,466,194,779,596 and 3,156,469,762,892 is: 6,795,346,363,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,194,779,596 : 3,156,469,762,892 = 3,156,469,762,892 : x
  2. Step 2: Convert to fraction form
    1,466,194,779,596/3,156,469,762,892 = 3,156,469,762,892/x
  3. Step 3: Cross multiply
    1,466,194,779,596x = 3,156,469,762,892 × 3,156,469,762,892
  4. Step 4: Simplify right side
    1,466,194,779,596x = 9,963,301,364,051,478,543,597,568
  5. Step 5: Solve for x
    x = 9,963,301,364,051,478,543,597,568/1,466,194,779,596
  6. Step 6: Final answer
    x = 6,795,346,363,732.65

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