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Finding the Third Proportional to 6,005,875 and 12,956,534

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Solution

The third proportional to 6,005,875 and 12,956,534 is: 27,951,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,875 : 12,956,534 = 12,956,534 : x
  2. Step 2: Convert to fraction form
    6,005,875/12,956,534 = 12,956,534/x
  3. Step 3: Cross multiply
    6,005,875x = 12,956,534 × 12,956,534
  4. Step 4: Simplify right side
    6,005,875x = 167,871,773,293,156
  5. Step 5: Solve for x
    x = 167,871,773,293,156/6,005,875
  6. Step 6: Final answer
    x = 27,951,259.94

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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.