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Finding the Third Proportional to 2,906,946,457.88 and 6,376,684,010.62

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Solution

The third proportional to 2,906,946,457.88 and 6,376,684,010.62 is: 13,987,907,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,457.88 : 6,376,684,010.62 = 6,376,684,010.62 : x
  2. Step 2: Convert to fraction form
    2,906,946,457.88/6,376,684,010.62 = 6,376,684,010.62/x
  3. Step 3: Cross multiply
    2,906,946,457.88x = 6,376,684,010.62 × 6,376,684,010.62
  4. Step 4: Simplify right side
    2,906,946,457.88x = 40,662,098,971,357,978,624
  5. Step 5: Solve for x
    x = 40,662,098,971,357,978,624/2,906,946,457.88
  6. Step 6: Final answer
    x = 13,987,907,779.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.