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Finding the Third Proportional to 7,345,784 and 15,871,904

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Solution

The third proportional to 7,345,784 and 15,871,904 is: 34,294,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345,784 : 15,871,904 = 15,871,904 : x
  2. Step 2: Convert to fraction form
    7,345,784/15,871,904 = 15,871,904/x
  3. Step 3: Cross multiply
    7,345,784x = 15,871,904 × 15,871,904
  4. Step 4: Simplify right side
    7,345,784x = 251,917,336,585,216
  5. Step 5: Solve for x
    x = 251,917,336,585,216/7,345,784
  6. Step 6: Final answer
    x = 34,294,138.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.