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Finding the Third Proportional to 1,466,194,779,550 and 3,156,469,762,808

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Solution

The third proportional to 1,466,194,779,550 and 3,156,469,762,808 is: 6,795,346,363,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,194,779,550 : 3,156,469,762,808 = 3,156,469,762,808 : x
  2. Step 2: Convert to fraction form
    1,466,194,779,550/3,156,469,762,808 = 3,156,469,762,808/x
  3. Step 3: Cross multiply
    1,466,194,779,550x = 3,156,469,762,808 × 3,156,469,762,808
  4. Step 4: Simplify right side
    1,466,194,779,550x = 9,963,301,363,521,191,816,462,336
  5. Step 5: Solve for x
    x = 9,963,301,363,521,191,816,462,336/1,466,194,779,550
  6. Step 6: Final answer
    x = 6,795,346,363,584.17

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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.