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Finding the Third Proportional to 7,610,294,664 and 11,642,898,744

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Solution

The third proportional to 7,610,294,664 and 11,642,898,744 is: 17,812,331,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610,294,664 : 11,642,898,744 = 11,642,898,744 : x
  2. Step 2: Convert to fraction form
    7,610,294,664/11,642,898,744 = 11,642,898,744/x
  3. Step 3: Cross multiply
    7,610,294,664x = 11,642,898,744 × 11,642,898,744
  4. Step 4: Simplify right side
    7,610,294,664x = 135,557,091,163,036,778,496
  5. Step 5: Solve for x
    x = 135,557,091,163,036,778,496/7,610,294,664
  6. Step 6: Final answer
    x = 17,812,331,473.09

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