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Finding the Third Proportional to 7,812,652 and 17,138,040

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Solution

The third proportional to 7,812,652 and 17,138,040 is: 37,594,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,652 : 17,138,040 = 17,138,040 : x
  2. Step 2: Convert to fraction form
    7,812,652/17,138,040 = 17,138,040/x
  3. Step 3: Cross multiply
    7,812,652x = 17,138,040 × 17,138,040
  4. Step 4: Simplify right side
    7,812,652x = 293,712,415,041,600
  5. Step 5: Solve for x
    x = 293,712,415,041,600/7,812,652
  6. Step 6: Final answer
    x = 37,594,457.69

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Why These Related Problems?

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