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Finding the Third Proportional to 2,255,743.13 and 4,871,035.13

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Solution

The third proportional to 2,255,743.13 and 4,871,035.13 is: 10,518,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,743.13 : 4,871,035.13 = 4,871,035.13 : x
  2. Step 2: Convert to fraction form
    2,255,743.13/4,871,035.13 = 4,871,035.13/x
  3. Step 3: Cross multiply
    2,255,743.13x = 4,871,035.13 × 4,871,035.13
  4. Step 4: Simplify right side
    2,255,743.13x = 23,726,983,188,983.77
  5. Step 5: Solve for x
    x = 23,726,983,188,983.77/2,255,743.13
  6. Step 6: Final answer
    x = 10,518,477.45

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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.