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Finding the Third Proportional to 7,617,764 and 10,109,910

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Solution

The third proportional to 7,617,764 and 10,109,910 is: 13,417,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617,764 : 10,109,910 = 10,109,910 : x
  2. Step 2: Convert to fraction form
    7,617,764/10,109,910 = 10,109,910/x
  3. Step 3: Cross multiply
    7,617,764x = 10,109,910 × 10,109,910
  4. Step 4: Simplify right side
    7,617,764x = 102,210,280,208,100
  5. Step 5: Solve for x
    x = 102,210,280,208,100/7,617,764
  6. Step 6: Final answer
    x = 13,417,359.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.